Document Type
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BL
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Record Number
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700620
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Doc. No
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b522809
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Uniform Title
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Geometria riemanniana.English
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Main Entry
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Carmo, Manfredo Perdigão do.
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Title & Author
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Riemannian geometry /\ Manfredo Perdigão do Carmo ; translated by Francis Flaherty.
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Publication Statement
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Boston :: Birkhäuser,, ©1992.
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Series Statement
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Mathematics. Theory & applications
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Page. NO
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300 pages :: illustrations ;; 25 cm.
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ISBN
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0817634908
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: 3764334908
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: 9780817634902
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: 9783764334901
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Notes
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Translation of the 2nd ed. of: Geometria riemanniana.
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Bibliographies/Indexes
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Includes bibliographical references (pages 292-296) and index.
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Contents
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Preface to the 1st edition -- Preface to the 2nd edition -- Preface to the English edition -- How to use this book -- 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 -- Index.
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Subject
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Geometry, Riemannian.
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LC Classification
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QA649.C2913 1992
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Added Entry
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Flaherty, Francis J.,1935-
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