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A Course in Differential Geometry (Graduate Studies in Mathematics)

Thierry Aubin




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 | #2295278 in Books |  American Mathematical Society |  2000-12-12 | Original language:English | PDF # 1 |  9.50 x7.25 x.50l,1.25 | File type: PDF | 184 pages

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|| |"More than half of the book is devoted to exercises, problems at different levels and solutions of exercises. The author's aim was to facilitate the teaching of differential geometry. The presentation is very successful, and I can strongly recommend the book t

This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and $p$-plane fields. Chapter IV develops the notion of connection on a Riemannian manifold considered as a...

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