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On manifolds with quadratic curvature decay

Published online by Cambridge University Press:  01 March 2009

Nader Yeganefar*
Affiliation:
CMI, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille cedex 13, France (email: [email protected])
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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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2009

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