This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It deals with vector fields and differential forms, addresses integration of vector fields and p-planes and develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold. The author also discusses related notions of ...
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This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It deals with vector fields and differential forms, addresses integration of vector fields and p-planes and develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold. The author also discusses related notions of torsion and curvature, and gives a working knowledge of the covariant derivative, as well as specializing on Riemannian manifolds by deducing global properties from local properties of curvature, the final goal being to determine the manifold completely and explores some problems in PDEs suggested by the geometry of manifolds.
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Add this copy of A Course in Differential Geometry (Graduate Studies in to cart. $68.80, new condition, Sold by paragonbooks rated 4.0 out of 5 stars, ships from Clinton Township, MI, UNITED STATES, published 2005 by American Mathematical Society,.
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New. Suitable for second-year graduate students, this title is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. It explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. It also deals with vector fields and differential forms. Series: Graduate Studies in Mathematics. Num Pages: 208 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 260 x 185 x 15. Weight in Grams: 510. 2000. Hardcover.....We ship daily from our Bookshop.
Add this copy of A Course in Differential Geometry. to cart. $145.98, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2005 by American Mathematical Society,.
