Minimal Surfaces in Riemannian Manifolds
( Memoirs of the American Mathematical Society )
Publication series ：Memoirs of the American Mathematical Society
Author： Min Ji
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470400729
P-ISBN(Paperback): 9780821825600
Subject： O186.16 differential geometry in large
Keyword： Geometry and Topology
Language： ENG
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Minimal Surfaces in Riemannian Manifolds
Description
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.