Contact Manifolds In Riemannian Geometry
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Author |
: D. E. Blair |
Publisher |
: Springer |
Total Pages |
: 153 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540381549 |
ISBN-13 |
: 3540381546 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Contact Manifolds in Riemannian Geometry by : D. E. Blair
Author |
: David E. Blair |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 263 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9781475736045 |
ISBN-13 |
: 1475736045 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Riemannian Geometry of Contact and Symplectic Manifolds by : David E. Blair
Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).
Author |
: John M. Lee |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 232 |
Release |
: 2006-04-06 |
ISBN-10 |
: 9780387227269 |
ISBN-13 |
: 0387227261 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Riemannian Manifolds by : John M. Lee
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author |
: Bernhard Riemann |
Publisher |
: Birkhäuser |
Total Pages |
: 181 |
Release |
: 2016-04-19 |
ISBN-10 |
: 9783319260426 |
ISBN-13 |
: 3319260421 |
Rating |
: 4/5 (26 Downloads) |
Synopsis On the Hypotheses Which Lie at the Bases of Geometry by : Bernhard Riemann
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author |
: John M. Lee |
Publisher |
: Springer |
Total Pages |
: 447 |
Release |
: 2019-01-02 |
ISBN-10 |
: 9783319917559 |
ISBN-13 |
: 3319917552 |
Rating |
: 4/5 (59 Downloads) |
Synopsis Introduction to Riemannian Manifolds by : John M. Lee
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author |
: K. Shiohama |
Publisher |
: Elsevier |
Total Pages |
: 536 |
Release |
: 1989-10-04 |
ISBN-10 |
: 9780080925783 |
ISBN-13 |
: 0080925782 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Geometry of Manifolds by : K. Shiohama
This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, Yang-Mills Connections, and geometry of the Laplace operator.
Author |
: David E. Blair |
Publisher |
: |
Total Pages |
: 146 |
Release |
: 1976 |
ISBN-10 |
: OCLC:251450362 |
ISBN-13 |
: |
Rating |
: 4/5 (62 Downloads) |
Synopsis Contact manifolds in Riemannian geometry by : David E. Blair
Author |
: Andrew McInerney |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 420 |
Release |
: 2013-07-09 |
ISBN-10 |
: 9781461477327 |
ISBN-13 |
: 1461477328 |
Rating |
: 4/5 (27 Downloads) |
Synopsis First Steps in Differential Geometry by : Andrew McInerney
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
Author |
: Steven Rosenberg |
Publisher |
: Cambridge University Press |
Total Pages |
: 190 |
Release |
: 1997-01-09 |
ISBN-10 |
: 0521468310 |
ISBN-13 |
: 9780521468312 |
Rating |
: 4/5 (10 Downloads) |
Synopsis The Laplacian on a Riemannian Manifold by : Steven Rosenberg
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author |
: |
Publisher |
: Academic Press |
Total Pages |
: 441 |
Release |
: 1975-08-22 |
ISBN-10 |
: 9780080873794 |
ISBN-13 |
: 0080873790 |
Rating |
: 4/5 (94 Downloads) |
Synopsis An Introduction to Differentiable Manifolds and Riemannian Geometry by :
An Introduction to Differentiable Manifolds and Riemannian Geometry