Minimal Surfaces in Riemannian Manifolds

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Minimal Surfaces in Riemannian Manifolds by Ji, Min; Wang, Guang Yin, 9780821825600
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  • ISBN: 9780821825600 | 0821825607
  • Cover: Paperback
  • Copyright: 7/1/1993

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This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard $n$-sphere, there exist at least two minimal surfaces bounded by the curve.
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