[PDF.37my] Modern Geometric Structures And Fields (Graduate Studies in Mathematics)

Modern Geometric Structures And Fields (Graduate Studies in Mathematics)

[PDF.lt10] Modern Geometric Structures And Fields (Graduate Studies in Mathematics)

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 | #429584 in Books |  American Mathematical Society |  2006-11-07 |  2006-11-07 | Original language:English |  10.00 x7.00 x1.50l,.0 | File type: PDF | 633 pages

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||8 of 8 people found the following review helpful.| A useful survey of modern geometry|By Daniel Álvarez|This book conveys the idea that differential geometry in a broad sense is about smooth manifolds with a 2-tensor on it (that is a bilinear form on each tangent space). Examples of such tensors that have proved to be useful are (pseudo)-Riemannian metrics, hermitian metrics and symplectic forms. These structures are clo

The book presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the most important structures on them. The authors' approach is that the source of all constructions in Riemannian geometry is a manifold that allows one to compute scalar products of tangent vectors. With this approach, the authors show that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications. In...

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