Differential Geometry In The Large

Author : Heinz Hopf
Publisher : Springer
Page : 192 pages
File Size : 42,5 Mb
Release : 2003-07-01
Category : Mathematics
ISBN : 9783540394822

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Differential Geometry in the Large by Heinz Hopf Pdf

These notes consist of two parts: Selected in York 1) Geometry, New 1946, Topics University Notes Peter Lax. by Differential in the 2) Lectures on Stanford Geometry Large, 1956, Notes J.W. University by Gray. are here with no essential They reproduced change. Heinz was a mathematician who mathema- Hopf recognized important tical ideas and new mathematical cases. In the phenomena through special the central idea the of a or difficulty problem simplest background is becomes clear. in this fashion a crystal Doing geometry usually lead serious allows this to to - joy. Hopf's great insight approach for most of the in these notes have become the st- thematics, topics I will to mention a of further try ting-points important developments. few. It is clear from these notes that laid the on Hopf emphasis po- differential Most of the results in smooth differ- hedral geometry. whose is both t1al have understanding geometry polyhedral counterparts, works I wish to mention and recent important challenging. Among those of Robert on which is much in the Connelly rigidity, very spirit R. and in - of these notes (cf. Connelly, Conjectures questions open International of Mathematicians, H- of gidity, Proceedings Congress sinki vol. 1, 407-414) 1978, .

Author : Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner
Publisher : Cambridge University Press
Page : 401 pages
File Size : 50,7 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9781108812818

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Differential Geometry in the Large by Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner Pdf

From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 55,6 Mb
Release : 2024-06-04
Category : Electronic
ISBN : 0387120041

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Differential Geometry in the Large by Anonim Pdf

Author : J. J. Stoker
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 41,5 Mb
Release : 2011-09-09
Category : Mathematics
ISBN : 9781118165478

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Differential Geometry by J. J. Stoker Pdf

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.

Author : Harry Ernest Rauch
Publisher : Unknown
Page : 70 pages
File Size : 40,6 Mb
Release : 1959
Category : Curves on surfaces
ISBN : STANFORD:36105031175511

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Geodesics and Curvature in Differential Geometry in the Large by Harry Ernest Rauch Pdf

Author : E. V. Shikin
Publisher : American Mathematical Soc.
Page : 208 pages
File Size : 40,7 Mb
Release : 1996-07-16
Category : Electronic
ISBN : 0821895974

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Some questions of differential geometry in the large by E. V. Shikin Pdf

This collection contains articles that present recent results by geometers in Russia and the Ukraine. Papers in the collection deal with various questions related to the structure, symmetries, and embeddings of submanifolds in Euclidean and pseudo-Euclidian spaces. This collection offers a review of the challenges facing specialists in geometry in the large and features current research in the field.

Author : Barry Simon
Publisher : American Mathematical Soc.
Page : 789 pages
File Size : 41,8 Mb
Release : 2015-11-02
Category : Mathematical analysis
ISBN : 9781470410995

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Real Analysis: A Comprehensive Course in Analysis, Part 1 by Barry Simon Pdf

A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Author : Heinz Hopf
Publisher : Unknown
Page : 324 pages
File Size : 44,5 Mb
Release : 1956
Category : Geometry, Differential
ISBN : STANFORD:36105033279964

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Lectures on Differential Geometry in the Large by Heinz Hopf Pdf

Author : Detlef Laugwitz
Publisher : Academic Press
Page : 250 pages
File Size : 46,8 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483263984

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Differential and Riemannian Geometry by Detlef Laugwitz Pdf

Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.

Author : Franki J.E. Dillen,Leopold C.A. Verstraelen
Publisher : Elsevier
Page : 574 pages
File Size : 46,9 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

Author : Gerard Walschap
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 55,7 Mb
Release : 2012-08-23
Category : Mathematics
ISBN : 9780387218267

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Metric Structures in Differential Geometry by Gerard Walschap Pdf

This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.

Author : Anonim
Publisher : Unknown
Page : 15 pages
File Size : 44,7 Mb
Release : 1991
Category : Electronic
ISBN : OCLC:897957913

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Differential Geometry in the Large by Anonim Pdf

Author : Victor Andreevich Toponogov
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 52,5 Mb
Release : 2006-09-10
Category : Mathematics
ISBN : 9780817644024

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Differential Geometry of Curves and Surfaces by Victor Andreevich Toponogov Pdf

Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels

Author : Marián Fecko
Publisher : Cambridge University Press
Page : 11 pages
File Size : 55,9 Mb
Release : 2006-10-12
Category : Science
ISBN : 9781139458030

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Differential Geometry and Lie Groups for Physicists by Marián Fecko Pdf

Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.

Author : Herbert Busemann
Publisher : Springer Science & Business Media
Page : 119 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642880575

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Recent Synthetic Differential Geometry by Herbert Busemann Pdf

A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions : The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here.