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Comparison Theorems in Riemannian Geometry


Marketed By :  AV Akademikerverlag   Sold By :  Kamal Books International  
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  • Product Description

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.

Product Specifications
SKU :COC76314
AuthorKlaus Kröncke
Number of Pages96
Publishing Year2014-03-05T00:00:00.000
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandAV Akademikerverlag
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-10-08 00:00:00
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