Overview

This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite to this result. It is intended for researchers and advanced graduate students in both differential geometry and topology. This book is the content of a course given by the author at TIFR in 1993.

Full Product Details

Author:   F. Thomas Farrell
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:   Width: 17.80cm , Height: 0.50cm , Length: 25.40cm
Weight:   0.220kg
ISBN:  

9783540589778

ISBN 10:   3540589775
Pages:   98
Publication Date:   01 July 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Contents: Introduction.- Borel's Conjecture.- Generalized Borel Conjecture.- Davis'Construction.- Surgical method for analyzing S(M).- Surgery Exact Sequence.- Condition (*).-Splitting the Assembly Map.- Novikov's Conjecture.-Geometric Groups.- Connell-Hollingsworth Conjecture.-Thin h-cobordism Theorem.- Quinn's Theorem.- Torus Trick.- Non-positively curved manifolds.- Expanding Endomorphisms.- Exotic Smoothings.- Smooth Rigidity Problem.- Complex hyperbolic manifolds.- Berger spheres.-Final Remarks.

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