On stable currents and positively curved hypersurfaces
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- by Yi-Bing Shen and Qun He PDF
- Proc. Amer. Math. Soc. 129 (2001), 237-246 Request permission
Abstract:
We establish a nonexistence theorem for stable currents (or stable varifolds) in complete $\delta$-pinched hypersurfaces of a real space form with nonnegative constant sectional curvature. This is a partial positive answer to the well-known conjecture of Lawson and Simons.References
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Additional Information
- Yi-Bing Shen
- Affiliation: Department of Mathematics, West-Brook Campus, Zhejiang University, Hangzhou 310028, People’s Republic of China
- Email: ybshen@dial.zju.edu.cn
- Qun He
- Affiliation: Department of Mathematics, West-Brook Campus, Zhejiang University, Hangzhou 310028, People’s Republic of China
- Received by editor(s): March 15, 1999
- Published electronically: June 7, 2000
- Additional Notes: This research was supported in part by NNSFC and NSFZP
- Communicated by: Jozef Dodziuk
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 237-246
- MSC (1991): Primary 53C42; Secondary 58A25
- DOI: https://doi.org/10.1090/S0002-9939-00-05753-1
- MathSciNet review: 1784025