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Manifolds with quadratic curvature decay and fast volume growth

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Abstract

 We give sufficient conditions for a noncompact Riemannian manifold, which has quadratic curvature decay, to have finite topological type with ends that are cones over spherical space forms.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, USA (e-mail: lott@math.lsa.umich.edu), , , , , , US

    John Lott

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  1. John Lott
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Received: 21 March 2001 / Revised version: 21 March 2002 / Published online: 10 February 2003

Research partially supported by NSF grant DMS-0072154 and MSRI

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Lott, J. Manifolds with quadratic curvature decay and fast volume growth. Math. Ann. 325, 525–541 (2003). https://doi.org/10.1007/s00208-002-0389-2

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  • DOI: https://doi.org/10.1007/s00208-002-0389-2

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