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Topological finiteness for asymptotically nonnegatively curved manifolds

Differential Geometry 2009-05-07 v2 Geometric Topology

Abstract

We prove that a class of asymptotically nonnegatively curved manifolds (in the sense of Abresch) satisfying some uniform Euclidean type volume growth conditions contains only finitely many homeomorphism types.

Keywords

Cite

@article{arxiv.0904.1941,
  title  = {Topological finiteness for asymptotically nonnegatively curved manifolds},
  author = {Nader Yeganefar},
  journal= {arXiv preprint arXiv:0904.1941},
  year   = {2009}
}

Comments

The uniform bound on R, claimed at the end of page 7, is not justified. Therefore, this paper has been withdrawn by the author