Minimal surfaces in Riemannian manifolds
Author(s)
Bibliographic Information
Minimal surfaces in Riemannian manifolds
（Memoirs of the American Mathematical Society, no. 495）
American Mathematical Society, 1993
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Note
"July 1993, volume 104, number 495 (second of 6 numbers)"--T.p
Includes bibliographical references (p. 49-50)
Description and Table of Contents
Description
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.
Table of Contents
Introduction Preliminaries Compactness and regularity A priori estimates Conformality and deformation lemmas for $E$ Mountain-pass-solution A minimax principle References.
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