Umfang:
Online-Ressource (viii, 174 p)
Ausgabe:
Online-Ausg. 2009 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
ISBN:
0720424615
,
9780720424614
,
9780444107640
,
0444107649
Serie:
North-Holland mathematical library 9
Inhalt:
Comparison Theorems in Riemannian Geometry
Inhalt:
Comparison Theorems in Riemannian Geometry
Anmerkung:
Includes bibliographical references and index
,
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
,
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;
,
Electronic reproduction; Mode of access: World Wide Web
Weitere Ausg.:
ISBN 0720424615
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Cheeger, Jeff, 1943 - Comparison theorems in Riemannian geometry Amsterdam [u.a.] : North-Holland Publ. [u.a.], 1975 ISBN 0720424615
Weitere Ausg.:
ISBN 0444107649
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Globale Riemannsche Geometrie
;
Riemannsche Geometrie
;
Riemannsche Geometrie
;
Electronic books
;
Electronic books
Mehr zum Autor:
Cheeger, Jeff 1943-
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