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
• DOI: 10.1002/mana.200410575

✦ 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)