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A stability criterion for nonparametric minimal submanifolds

โœ Scribed by Yng-Ing Lee; Mu-Tao Wang


Publisher
Springer
Year
2003
Tongue
English
Weight
128 KB
Volume
112
Category
Article
ISSN
0025-2611

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## Abstract Let __C__ be a closed convex set in a complete simply connected Riemannian manifold __M__ with sectional curvature bounded above by a positive constant __K__. Assume that ฮฃ is a compact minimal surface outside __C__ such that ฮฃ is orthogonal to โˆ‚__C__ along โˆ‚ฮฃโˆฉโˆ‚__C__ and โˆ‚ฮฃ โˆผ โˆ‚__C__ is