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On stable currents and positively curved hypersurfaces |
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| Authors: | Yi-Bing Shen Qun He |
| Institution: | Department of Mathematics, West-Brook Campus, Zhejiang University, Hangzhou 310028, People's Republic of China ; Department of Mathematics, West-Brook Campus, Zhejiang University, Hangzhou 310028, People's Republic of China |
| Abstract: | We establish a nonexistence theorem for stable currents (or stable varifolds) in complete |
| Keywords: | Stable currents $\delta $-pinched manifolds $\delta $-pinched hypersurfaces |
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-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.