21 апреля 2009 | Автор: Admin | Рубрика: English литература » Словари и энциклопедии на английском языке | Комментариев: 0
Geometry VI: Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
Springer | 2001 | ISBN: 3540411089 | Pages: 504 | DJVU | 2.87 MB
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.
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