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Stable minimal hypersurfaces in locally symmetric spaces

✍ Scribed by Gabjin Yun


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
121 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

Let__M__ 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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