Lorentzian Geometry And Related Topics

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Lorentzian Geometry and Related Topics

María A. Cañadas-Pinedo,José Luis Flores,Francisco J. Palomo
Lorentzian Geometry and Related Topics Book PDF

Author : María A. Cañadas-Pinedo,José Luis Flores,Francisco J. Palomo
Publisher : Springer
Page : 273 pages
File Size : 52,9 Mb
Release : 2018-03-06
Category : Mathematics
ISBN : 9783319662909

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Lorentzian Geometry and Related Topics by María A. Cañadas-Pinedo,José Luis Flores,Francisco J. Palomo Pdf

This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area. Based on contributions from the VIII International Meeting on Lorentzian Geometry, held at the University of Málaga, Spain, this volume covers topics such as distinguished (maximal, trapped, null, spacelike, constant mean curvature, umbilical...) submanifolds, causal completion of spacetimes, stationary regions and horizons in spacetimes, solitons in semi-Riemannian manifolds, relation between Lorentzian and Finslerian geometries and the oscillator spacetime. In the last decades Lorentzian geometry has experienced a significant impulse, which has transformed it from just a mathematical tool for general relativity to a consolidated branch of differential geometry, interesting in and of itself. Nowadays, this field provides a framework where many different mathematical techniques arise with applications to multiple parts of mathematics and physics. This book is addressed to differential geometers, mathematical physicists and relativists, and graduate students interested in the field.

Global Lorentzian Geometry

John K. Beem,Paul Ehrlich,Kevin Easley
Global Lorentzian Geometry Book PDF

Author : John K. Beem,Paul Ehrlich,Kevin Easley
Publisher : Routledge
Page : 656 pages
File Size : 51,5 Mb
Release : 2017-09-29
Category : Science
ISBN : 9781351444712

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Global Lorentzian Geometry by John K. Beem,Paul Ehrlich,Kevin Easley Pdf

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Topics in Modern Differential Geometry

Stefan Haesen,Leopold Verstraelen
Topics in Modern Differential Geometry Book PDF

Author : Stefan Haesen,Leopold Verstraelen
Publisher : Springer
Page : 284 pages
File Size : 50,5 Mb
Release : 2016-12-21
Category : Mathematics
ISBN : 9789462392403

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Topics in Modern Differential Geometry by Stefan Haesen,Leopold Verstraelen Pdf

A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.

Recent Trends in Lorentzian Geometry

Miguel Sánchez,Miguel Ortega,Alfonso Romero
Recent Trends in Lorentzian Geometry Book PDF

Author : Miguel Sánchez,Miguel Ortega,Alfonso Romero
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 46,6 Mb
Release : 2012-11-06
Category : Mathematics
ISBN : 9781461448976

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Recent Trends in Lorentzian Geometry by Miguel Sánchez,Miguel Ortega,Alfonso Romero Pdf

Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed. Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included. ​ This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.

Advances in Lorentzian Geometry

Matthias Plaue,Alan D. Rendall,Mike Scherfner
Advances in Lorentzian Geometry Book PDF

Author : Matthias Plaue,Alan D. Rendall,Mike Scherfner
Publisher : American Mathematical Soc.
Page : 154 pages
File Size : 49,7 Mb
Release : 2011
Category : General relativity (Physics)
ISBN : 9780821853528

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Advances in Lorentzian Geometry by Matthias Plaue,Alan D. Rendall,Mike Scherfner Pdf

Offers insight into the methods and concepts of a very active field of mathematics that has many connections with physics. It includes contributions from specialists in differential geometry and mathematical physics, collectively demonstrating the wide range of applications of Lorentzian geometry, and ranging in character from research papers to surveys to the development of new ideas.

Variational Methods in Lorentzian Geometry

Antonio Masiello
Variational Methods in Lorentzian Geometry Book PDF

Author : Antonio Masiello
Publisher : Routledge
Page : 166 pages
File Size : 46,5 Mb
Release : 2017-10-05
Category : Mathematics
ISBN : 9781351405706

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Variational Methods in Lorentzian Geometry by Antonio Masiello Pdf

Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.

Differential Geometry: Geometry in Mathematical Physics and Related Topics

Robert Everist Greene,Shing-Tung Yau
Differential Geometry Geometry in Mathematical Physics and Related Topics Book PDF

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 681 pages
File Size : 50,5 Mb
Release : 1993
Category : Complex manifolds
ISBN : 9780821814956

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Differential Geometry: Geometry in Mathematical Physics and Related Topics by Robert Everist Greene,Shing-Tung Yau Pdf

The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge

Global Lorentzian Geometry

John K. Beem
Global Lorentzian Geometry Book PDF

Author : John K. Beem
Publisher : Routledge
Page : 475 pages
File Size : 46,8 Mb
Release : 2017-09-29
Category : Science
ISBN : 9781351444705

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Global Lorentzian Geometry by John K. Beem Pdf

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Developments in Lorentzian Geometry

Alma L. Albujer,Magdalena Caballero,Alfonso García-Parrado,Jónatan Herrera,Rafael Rubio
Developments in Lorentzian Geometry Book PDF

Author : Alma L. Albujer,Magdalena Caballero,Alfonso García-Parrado,Jónatan Herrera,Rafael Rubio
Publisher : Springer Nature
Page : 323 pages
File Size : 53,9 Mb
Release : 2022-10-06
Category : Mathematics
ISBN : 9783031053795

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Developments in Lorentzian Geometry by Alma L. Albujer,Magdalena Caballero,Alfonso García-Parrado,Jónatan Herrera,Rafael Rubio Pdf

This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Córdoba, Spain, on February 1-5, 2021. It includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference. Taken together, the papers offer an invaluable introduction to key topics discussed at the conference and an overview of the main techniques in use today. This volume also gathers extended revisions of key studies in this field. Bringing new results and examples, these unique contributions offer new perspectives to the original problems and, in most cases, extend and reinforce the robustness of previous findings. Hosted every two years since 2001, the International Meeting on Lorentzian Geometry has become one of the main events bringing together the leading experts on Lorentzian geometry. In this volume, the reader will find studies on spatial and null hypersurfaces, low regularity in general relativity, conformal structures, Lorentz-Finsler spacetimes, and more. Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.

Introduction to Lorentz Geometry

Ivo Terek Couto,Alexandre Lymberopoulos
Introduction to Lorentz Geometry Book PDF

Author : Ivo Terek Couto,Alexandre Lymberopoulos
Publisher : CRC Press
Page : 351 pages
File Size : 55,9 Mb
Release : 2021-01-05
Category : Mathematics
ISBN : 9781000223347

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Introduction to Lorentz Geometry by Ivo Terek Couto,Alexandre Lymberopoulos Pdf

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644

Geometric Flows and the Geometry of Space-time

Vicente Cortés,Klaus Kröncke,Jan Louis
Geometric Flows and the Geometry of Space time Book PDF

Author : Vicente Cortés,Klaus Kröncke,Jan Louis
Publisher : Springer
Page : 121 pages
File Size : 46,5 Mb
Release : 2018-12-05
Category : Mathematics
ISBN : 9783030011260

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Geometric Flows and the Geometry of Space-time by Vicente Cortés,Klaus Kröncke,Jan Louis Pdf

This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics

Differential Geometry: Riemannian Geometry

Robert Everist Greene,Shing-Tung Yau
Differential Geometry Riemannian Geometry Book PDF

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 710 pages
File Size : 42,7 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821814963

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Differential Geometry: Riemannian Geometry by Robert Everist Greene,Shing-Tung Yau Pdf

The third of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 3 begins with an overview by R.E. Greene of some recent trends in Riemannia

Differential Geometry: Partial Differential Equations on Manifolds

Robert Everist Greene,Shing-Tung Yau
Differential Geometry Partial Differential Equations on Manifolds Book PDF

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 560 pages
File Size : 41,6 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821814949

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Differential Geometry: Partial Differential Equations on Manifolds by Robert Everist Greene,Shing-Tung Yau Pdf

The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem

Supersymmetric Field Theories

Sergio Cecotti
Supersymmetric Field Theories Book PDF

Author : Sergio Cecotti
Publisher : Cambridge University Press
Page : 425 pages
File Size : 51,9 Mb
Release : 2015-01-08
Category : Science
ISBN : 9781107053816

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Supersymmetric Field Theories by Sergio Cecotti Pdf

Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira-Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.

Handbook of Differential Geometry

Franki J.E. Dillen,Leopold C.A. Verstraelen
Handbook of Differential Geometry Book PDF

Author : Franki J.E. Dillen,Leopold C.A. Verstraelen
Publisher : Elsevier
Page : 574 pages
File Size : 41,7 Mb
Release : 2005-11-29
Category : Mathematics
ISBN : 0080461204

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Handbook of Differential Geometry by Franki J.E. Dillen,Leopold C.A. Verstraelen Pdf

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics