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Index theorems on manifolds with straight ends

Published online by Cambridge University Press:  15 October 2012

Werner Ballmann
Affiliation:
Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany (email: [email protected]) Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Deutschland, Germany
Jochen Brüning
Affiliation:
Institut für Mathematik, Humboldt–Universität, Rudower Chaussee 5, 12489 Berlin, Germany (email: [email protected])
Gilles Carron
Affiliation:
Département de Mathématiques, Université de Nantes, 2 rue de la Houssiniére, BP 92208, 44322 Nantes Cedex 03, France (email: [email protected])
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Abstract

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We 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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2012

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