000			02338nam a22003377a 4500
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005			20240625194801.0
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020			_a9783030801069
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a514.7 _bLEE-I
100			_aLee, John M.
245			_aIntroduction to riemannian manifolds
250			_a2nd ed.
260			_aSwitzerland : _bSpringer Cham, _c2018.
300			_axiii, 437p. : _b210 illustrations
490			_aGraduate texts in mathematics, _v176. _x0072-5285 ;
520			_aThis textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction to Curvature. Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannianmetrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights.
650			_aDifferential geometry.
650			_aRiemannian geometry
650			_aRiemannian metrics
650			_aRiemannian submanifolds
650			_aGauss-Bonnet theorem
650			_aJacobi fields
650			_aCurvature and topology
650			_aGeodesics
650			_aLevi-Cevita connection
856			_3Table of Contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-91755-9/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/54131909-introduction-to-riemannian-manifolds?ref=nav_sb_ss_1_13#CommunityReviews
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999			_c35077 _d35077