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North-holland mathematical library, volume 9 : comparison theorems in riemannian.

Comparison Theorems in Riemannian Geometry.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, 2009.
Colección:North-Holland mathematical library.
Temas:
Acceso en línea:Texto completo
Texto completo

MARC

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245 0 0 |a North-holland mathematical library, volume 9 :  |b comparison theorems in riemannian. 
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490 1 |a North-Holland Mathematical Library 
505 0 |a Front Cover; Comparison Theorems in Riemannian Geometry; Copyright Page; Preface; Contents; Chapter 1. Basic Concepts and Results; 0. Notation and preliminaries; 1. First variation of arc length; 2. Exponential map and normal coordinates; 3. The Hopf-Rinow Theorem; 4. The curvature tensor and Jacobi fields; 5. Conjugate points; 6. Second variation of arc length; 7. Submanifolds and the second fundamental form; 8. Basic index lemmas; 9. Ricci curvature and Myers' and Bonnet's Theorems; 10. Rauch Comparison Theorems; 11. The Cartan-Hadamard Theorem; 12. The Cartan-Ambrose-Hicks Theorem. 
505 8 |a 13. Spaces of constant curvatureChapter 2. Toponogov's Theorem; Chapter 3. Homogeneous spaces; Chapter 4. Morse theory; Chapter 5. Closed geodesics and the cut locus; Chapter 6. The Sphere Theorem and its generalizations; Chapter 7. The differentiable Sphere Theorem; Chapter 8. Complete manifolds of nonnegative curvature; Chapter 9. Compact manifolds of nonpositive curvature; Index. 
520 |a Comparison Theorems in Riemannian Geometry. 
650 0 |a Geometry, Riemannian. 
650 0 |a Riemannian manifolds. 
650 6 |a G�eom�etrie de Riemann.  |0 (CaQQLa)201-0048530 
650 6 |a Vari�et�es de Riemann.  |0 (CaQQLa)201-0048309 
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650 7 |a Geometry, Riemannian  |2 fast  |0 (OCoLC)fst00940940 
650 7 |a Riemannian manifolds  |2 fast  |0 (OCoLC)fst01097804 
776 0 8 |i Print version:  |a Cheeger.  |t Comparison Theorems in Riemannian Geometry : V9.  |d Burlington : Elsevier Science, �2009  |z 9780720424614 
830 0 |a North-Holland mathematical library. 
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