Topological finiteness for asymptotically nonnegatively curved manifolds

Mathematics – Differential Geometry

Scientific paper

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 Therefore, this paper has been withdrawn by the author

Scientific paper

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.

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