A note on the cohomological below $1/4$-pinching theorem
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- by Zizhou Tang PDF
- Proc. Amer. Math. Soc. 130 (2002), 577-578 Request permission
Abstract:
By making use of a theorem of Toda, we establish a sharper version of the below $1/4$-pinching theorem of Abresch and Meyer.References
- Uwe Abresch and Wolfgang T. Meyer, A sphere theorem with a pinching constant below ${1\over 4}$, J. Differential Geom. 44 (1996), no. 2, 214–261. MR 1425576
- Uwe Abresch and Wolfgang T. Meyer, Injectivity radius estimates and sphere theorems, Comparison geometry (Berkeley, CA, 1993–94) Math. Sci. Res. Inst. Publ., vol. 30, Cambridge Univ. Press, Cambridge, 1997, pp. 1–47. MR 1452866
- Dale Husemoller, Fibre bundles, 2nd ed., Graduate Texts in Mathematics, No. 20, Springer-Verlag, New York-Heidelberg, 1975. MR 0370578
- Hirosi Toda, Note on cohomology ring of certain spaces, Proc. Amer. Math. Soc. 14 (1963), 89–95. MR 150763, DOI 10.1090/S0002-9939-1963-0150763-5
Additional Information
- Zizhou Tang
- Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China
- Email: zztang@mx.cei.gov.cn
- Received by editor(s): October 14, 1999
- Received by editor(s) in revised form: June 19, 2000
- Published electronically: 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 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 577-578
- MSC (2000): Primary 53C20; Secondary 57R19
- DOI: https://doi.org/10.1090/S0002-9939-01-06070-1
- MathSciNet review: 1862139