The manifolds with nonnegative Ricci curvature and collapsing volume

Author:
Huashui Zhan

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1923-1927

MSC (2000):
Primary 53C20

Published electronically:
February 6, 2007

MathSciNet review:
2286105

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a complete noncompact -manifold with collapsing volume and . The paper proves that is of finite topological type under some restrictions on volume growth.

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Additional Information

**Huashui Zhan**

Affiliation:
School of Sciences, Jimei University, Xiamen 361021, People’s Republic of China

Email:
Huashui@263.net

DOI:
http://dx.doi.org/10.1090/S0002-9939-07-08742-4

Keywords:
Riemannian manifold,
nonnegative Ricci curvature,
finite topological type,
collapsing volume.

Received by editor(s):
September 25, 2005

Received by editor(s) in revised form:
April 3, 2006

Published electronically:
February 6, 2007

Additional Notes:
The paper is supported by NSF of China (10571144), NSF of Fujian Province (2005J037) and NSF of Education Department of Fujian province (JA05296), China

Communicated by:
Jon G. Wolfson

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.