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On manifolds with quadratic curvature decay

Part of: Global differential geometry

Published online by Cambridge University Press:  01 March 2009

Nader Yeganefar
Nader Yeganefar*
Affiliation:
CMI, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille cedex 13, France (email: yeganefa@cmi.univ-mrs.fr)
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Abstract

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We give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of a manifold with quadratic curvature decay and some properties of the asymptotic cones of such a manifold.

Keywords

asymptotic geometryasymptotic cones

MSC classification

Secondary: 53C20: Global Riemannian geometry, including pinching
Type
Research Article
Information
Compositio Mathematica , Volume 145 , Issue 2 , March 2009 , pp. 528 - 540
Copyright
Copyright © Foundation Compositio Mathematica 2009

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