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Index theorems on manifolds with straight ends

Published:2012-10-15 Issue:6 Volume:148 Page:1897-1968
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Ballmann Werner,Brüning Jochen,Carron Gilles

Abstract

AbstractWe study Fredholm properties and index formulas for Dirac operators over complete Riemannian manifolds with straight ends. An important class of examples of such manifolds are complete Riemannian manifolds with pinched negative sectional curvature and finite volume.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference58 articles.

1. Gromov’s almost flat manifolds;Buser;Astérisque,1981

2. Frame flows on manifolds with pinched negative curvature;Brin;Compositio Math.,1984

3. Classification of negatively pinched manifolds with amenable fundamental groups

4. L2-index and the Selberg trace formula

5. Manifolds of Nonpositive Curvature

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