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Encyclopedias Geometry VI: Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
Posted on 2010-03-15
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More Geometry VI: Riemannian Geometry (Encyclopaedia of Mathematical Sciences) This book treats that part of Riemannian geometry related to more classical topics in a very original, clear and solid style. Before going to Riemannian geometry, the author presents a more general theory of manifolds with a linear connection. Having in mind different generalizations of Riemannian manifolds, it is clearly stressed which notions and theorems belong to Riemannian geometry and which of them are of a more general nature. Much attention is paid to transformation groups of smooth manifolds. Throughout the book, different aspects of symmetric spaces are treated. The author successfully combines the co-ordinate and invariant approaches to differential geometry, which give the reader tools for practical calculations as well as a theoretical understanding of the subject. The book contains a very useful large Appendix on foundations of differentiable manifolds and basic structures on them which makes it self-contained and practically independent from other sources. ..::Other Interesting Books You'd Like To Read::.. ...::Only honest, RS mirrors, please - do not increase the file size to gain money or points::...
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