Vol. 244, No. 1, 2010

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A topological sphere theorem for arbitrary-dimensional manifolds

Yuliang Wen

Vol. 244 (2010), No. 1, 193–200
Abstract

We study manifolds with bounded volume, sectional curvature, and injectivity radius. We obtain a topological sphere theorem.

Keywords
sphere theorem
Mathematical Subject Classification 2000
Primary: 53C20
Milestones
Received: 5 October 2008
Revised: 9 April 2009
Accepted: 13 July 2009
Published: 17 November 2009
Authors
Yuliang Wen
Department of Mathematics
East China Normal University
Shanghai 20062
China