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Author : Robert Hermann
Publisher : Interdisciplinary Mathematics
Page : 312 pages
File Size : 41,8 Mb
Release : 1993
Category : Mathematics
ISBN : STANFORD:36105003450652
Author : Robert Hermann
Publisher : Unknown
Page : 316 pages
File Size : 40,8 Mb
Release : 1984
Category : Mathematics
ISBN : 091569235X
Author : Róbert Hermann
Publisher : Math Science Press
Page : 515 pages
File Size : 43,5 Mb
Release : 1975
Category : Mathematics
ISBN : 0915692090
Author : Robert Hermann
Publisher : Math-Sci Press
Page : 286 pages
File Size : 43,9 Mb
Release : 1994
Category : Mathematics
ISBN : 0915692457
Author : Mike Crampin,David Saunders
Publisher : Springer
Page : 290 pages
File Size : 41,5 Mb
Release : 2016-05-20
Category : Mathematics
ISBN : 9789462391925
In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.
Author : Bertfried Fauser,Jürgen Tolksdorf,Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 45,7 Mb
Release : 2009-06-02
Category : Science
ISBN : 9783764387365
The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.
Author : Michiel Hazewinkel,Murray Gerstenhaber
Publisher : Springer Science & Business Media
Page : 1024 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400930575
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).
Author : Robert Hermann
Publisher : Unknown
Page : 414 pages
File Size : 54,5 Mb
Release : 1991
Category : Computer science
ISBN : 0915692414
Author : Robert Hermann
Publisher : Math Science Press
Page : 363 pages
File Size : 50,9 Mb
Release : 1991
Category : Mathematics
ISBN : 0915692422
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Author : R. Martini,E.M. de Jager
Publisher : Springer
Page : 231 pages
File Size : 52,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540391920
Author : A Marlow
Publisher : Elsevier
Page : 280 pages
File Size : 50,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323157971
Quantum Theory and Gravitation provides information pertinent to quantum theory and general relativity. This book defines the problem areas and presents specific solutions to problems in relativity or quantum theory. Organized into 17 chapters, this book starts with an overview of the concept of pregeometry wherein the geometry of space and space time are based. This text then explores the restriction to real amplitude in photon polarization experiment, which appears in the fact that the elliptical polarizations are not included as possibilities. Other chapters consider the primary role that space-time models play in the expression of physical theories. This book discusses as well the basic structure of an axiomatic model for a fully relativistic quantum theory, which consists of four axioms imposed on an operational quantum logical universe of discourse. The final chapter describes the relationships between certain areas of mathematics and the developments in theoretical physics. Physicists, mathematicians, and researchers will find this book useful.
Author : Robert Hermann
Publisher : Unknown
Page : 312 pages
File Size : 40,5 Mb
Release : 1973
Category : Mathematical physics
ISBN : UOM:39015026883879
Author : Anonim
Publisher : Unknown
Page : 780 pages
File Size : 42,7 Mb
Release : 1992-04-15
Category : Mathematics
ISBN : 9789814505918
In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic geometry and partial differential equations. Professor Matsushima played a leading role in this transformation by bringing new techniques of Lie groups and Lie algebras into the study of real and complex manifolds. This volume is a collection of all the 46 papers written by him. Contents:On Algebraic Lie Groups and AlgebrasOn a Theorem Concerning the Prolongation of a Differential SystemSome Studies on Kaehlerian Homogeneous SpacesOn the First Betti Number of Compact Quotient Spaces of Higher-Dimensional Symmetric SpacesOn the Cohomology Groups Attached to Certain Vector Valued Differential Forms on the Product of the Upper Half PlanesOn Certain Cohomology Groups Attached to Hermitian Symmetric SpacesHolomorphic Vector Fields and the First Chern Class of a Hodge ManifoldOn the Tube DomainsOn a Problem of Stoll Concerning a Cohomology Map from a Flag Manifold into a Grassmann ManifoldOn the Intermediate Cohomology Group of a Holomorphic Line Bundle over a Complex Torusand other papers Readership: Mathematicians. keywords:Matsushima;Differential Geometry;Topology;Lie Theory;Complex Analysis;Algebraic Geometry;Lie Groups;Lie Algebras;Real Manifolds;Complex Manifolds
Author : Stephen Bruce Sontz
Publisher : Springer
Page : 280 pages
File Size : 45,6 Mb
Release : 2015-04-27
Category : Science
ISBN : 9783319147659
This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other.
Author : Alfinito Eleonora,Boiti M,Martina Luigi
Publisher : World Scientific
Page : 628 pages
File Size : 50,8 Mb
Release : 1996-06-20
Category : Electronic
ISBN : 9789814548120