Minimal Surfaces in Riemannian Manifolds - Couverture souple

Ji, Min; Wang, Guang Yin

 
9780821825600: Minimal Surfaces in Riemannian Manifolds

Synopsis

This monograph studies the structure of the set of all co boundary 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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