Minimal Surfaces in Riemannian Manifolds
Min Ji · Guang Yin Wang
yan, 1993 · American Mathematical Society: Memoirs of the American Mathematical Society 495-kitob · American Mathematical Soc.
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50
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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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