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A note on the cohomological below  -pinching theorem
Author(s):
Zizhou
Tang
Journal:
Proc. Amer. Math. Soc.
130
(2002),
577-578.
MSC (2000):
Primary 53C20;
Secondary 57R19
Posted:
May 7, 2001
MathSciNet review:
1862139
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Abstract:
By making use of a theorem of Toda, we establish a sharper version of the below  -pinching theorem of Abresch and Meyer.
References:
-
- [AM1]
- U. Abresch and W.T. Meyer, A sphere theorem with a pinching constant below
 , J. Diff. Geom. 44(1996), 214-261. MR 97i:53036 - [AM2]
- U. Abresch and W.T. Meyer, Injectivity radius estimates and sphere theorems, In Comparison geometry, MSRI Pub. Cambridge University Press, 1997. MR 98e:53052
- [Hu]
- D. Husemoller, Fibre bundles, GTM Vol.20, Springer-Verlag, New York, 1975. MR 51:6805
- [To]
- H. Toda, Note on cohomology ring of certain spaces, Proc. Amer. Math. Soc. 14(1963), 89-95. MR 27:750
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Additional Information:
Zizhou
Tang
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
Email:
zztang@mx.cei.gov.cn
DOI:
10.1090/S0002-9939-01-06070-1
PII:
S 0002-9939(01)06070-1
Keywords:
Pinching constant,
rank-one symmetric spaces,
cohomology rings
Received by editor(s):
October 14, 1999
Received by editor(s) in revised form:
June 19, 2000
Posted:
May 7, 2001
Additional Notes:
The author's research was partially supported by the Hong Kong Qiu-Shi Foundation (1998), the Outstanding Youth Foundation of NSF in China (No.19925103) and the Education Foundation of Tsinghua University, as well as the Grants-in-Aid for Science Research of the Japanese Ministry of Education (No.09440039).
Communicated by:
Wolfgang Ziller
Copyright of article:
Copyright
2001,
American Mathematical Society
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