Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 26 Issue 2
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- Pages.175-177
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- 1989
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
ON STABLE MINIMAL SURFACES IN THREE DIMENSIONAL MANIFOLDS OF NONNEGATIVE SCALAR CURVATURE
Abstract
The following is the basic problem about the stability in Riemannian Geometry; given a Riemannian manifold N, find all stable complete minimal submanifolds of N. As answers of this problem, do Carmo-Peng [1] and Fischer-Colbrie and Schoen [3] showed that the stable minimal surfaces in R
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