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· 제목 : Riemannian Geometry: Theory & Applications (Hardcover, 1992, Corr. 14t) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 해석기하학
· ISBN : 9780817634902
· 쪽수 : 300쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 해석기하학
· ISBN : 9780817634902
· 쪽수 : 300쪽
목차
Preface to the 1st edition * Preface to the 2nd edition * Preface to the English edition * How to use this book * 0. 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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