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Overview"Publicationes Mathematicae ""In the reviewer's opinion, this is a superb book which makes learning a real pleasure."" - Revue Romaine de Mathematiques Pures et Appliquees ""This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."" - Monatshefte F. Mathematik" Full Product DetailsAuthor: Manfredo P. do Carmo , Francis FlahertyPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 1st ed. 1992, Corr. 14th printing 2013 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 0.643kg ISBN: 9780817634902ISBN 10: 0817634908 Pages: 300 Publication Date: 01 January 1992 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents0-Differentiable Manifolds.- 1-Riemannian Metrics.- 2-Affine Connections; Riemannian Connections.- 3-Geodesics; Convex Neighborhoods.- 4-Curvature.- 5-Jacobi Fields.- 6-Isometric Immersions.- 7-Complete Manifolds; Hopf-Rinow and Hadamard Theorems.- 8-Spaces of Constant Curvature.- 9-Variations of Energy.- 10-The Rauch Comparison Theorem.- 11-The Morse Index Theorem.- 12-The Fundamental Group of Manifolds of Negative Curvature.- 13-The Sphere Theorem.- References.ReviewsThis is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry. --Publicationes Mathematicae This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises. --Newsletter of the EMS In the reviewer's opinion, this is a superb book which makes learning a real pleasure. --Revue Romaine de Mathematiques Pures et Appliquees This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises. --Monatshefte F. Mathematik This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry. <p>a Publicationes Mathematicae <p> This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises. <p>a Newsletter of the EMS <p> In the reviewer's opinion, this is a superb book which makes learning a real pleasure. <p>a Revue Romaine de Mathematiques Pures et Appliquees <p> This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises. <p>a Monatshefte F. Mathematik Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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