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The manifolds with nonnegative Ricci curvature and collapsing volume
Author(s):
Huashui
Zhan
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1923-1927.
MSC (2000):
Primary 53C20
Posted:
February 6, 2007
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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:
10.1090/S0002-9939-07-08742-4
PII:
S 0002-9939(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
Posted:
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
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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