Stable minimal hypersurfaces in locally symmetric spaces |
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| Authors: | Gabjin Yun |
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| Affiliation: | Department of Mathematics, Myong Ji University, San 38‐2, Namdong, Yongin, Kyunggi, Korea, 449‐728Phone: +82 031 330 6163, Fax: +82 031 330 9528 |
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| Abstract: | LetM be a complete non‐compact stable minimal hypersurface in a locally symmetric space N of nonnegative Ricci curvature. We prove that if the integral of square norm of the second fundamental form is finite, i.e., ∫M |A |2 dv < ∞, then M must be totally geodesic. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Locally symmetric space Ricci curvature stable minimal hypersurface totally geodesic |
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