Andere Kunden interessierten sich auch für
![Semi-Riemannian Geometry With Applications to Relativity]( "Semi-Riemannian Geometry With Applications to Relativity")
Semi-Riemannian Geometry With Applications to Relativity65,99 €![Minimal Submanifolds in Pseudo-Riemannian Geometry]( "Minimal Submanifolds in Pseudo-Riemannian Geometry")
Minimal Submanifolds in Pseudo-Riemannian Geometry80,99 €![Comparison Geometry]( "Comparison Geometry")
Comparison Geometry132,99 €![Riemannian Geometry]( "Riemannian Geometry")
Riemannian Geometry37,99 €![Symmetries of Spacetimes and Riemannian Manifolds]( "Symmetries of Spacetimes and Riemannian Manifolds")
Symmetries of Spacetimes and Riemannian Manifolds60,99 €![Singular Semi-Riemannian Geometry]( "Singular Semi-Riemannian Geometry")
Singular Semi-Riemannian Geometry77,99 €![Riemannian Geometry in an Orthogonal Frame]( "Riemannian Geometry in an Orthogonal Frame")
Riemannian Geometry in an Orthogonal Frame88,99 €
The main subject of this work are results of global Riemannian geometry. In all of these theorems we assume some local property of the space (usually formulated using curvature assumption) to derive some information about the global structure of the space, including the topological type of the manifold. In the first part of the work, we study the Bonnet-Myers theorem, the Rauch comparison theorem and the Cartan-Hadamard theorem. The second part is devoted to the sphere theorem, which was proven by Berger and Klingenberg. After extensive preparations, we give a complete proof of the theorem. Finally, we briefly discuss some recent developments that build on the sphere theorem.