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Universal covers for Hausdorff limits of noncompact spaces
Author(s):
Christina
Sormani;
Guofang
Wei
Journal:
Trans. Amer. Math. Soc.
356
(2004),
1233-1270.
MSC (2000):
Primary 53C20
Posted:
October 6, 2003
MathSciNet review:
2021619
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Abstract:
We prove that if is the Gromov-Hausdorff limit of a sequence of complete manifolds, , with a uniform lower bound on Ricci curvature, then has a universal cover.
References:
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Additional Information:
Christina
Sormani
Affiliation:
Department of Mathematics and Computer Science, Lehman College, City University of New York, Bronx, New York 10468
Email:
sormani@g230.lehman.cuny.edu
Guofang
Wei
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106
Email:
wei@math.ucsb.edu
DOI:
10.1090/S0002-9947-03-03412-3
PII:
S 0002-9947(03)03412-3
Received by editor(s):
July 24, 2002
Received by editor(s) in revised form:
February 28, 2003
Posted:
October 6, 2003
Additional Notes:
The first author was partially supported by NSF Grant # DMS-0102279 and a grant from The City University of New York PSC-CUNY Research Award Program
The second author was partially supported by NSF Grant # DMS-9971833
Copyright of article:
Copyright
2003,
American Mathematical Society
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