Memoirs of the American Mathematical Society 1993; 50 pp; softcover Volume: 104 ISBN10: 0821825607 ISBN13: 9780821825600 List Price: US$28 Individual Members: US$16.80 Institutional Members: US$22.40 Order Code: MEMO/104/495
 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. Readership Research mathematicians. Table of Contents  Introduction
 Preliminaries
 Compactness and regularity
 A priori estimates
 Conformality and deformation lemmas for \(E\)
 Mountainpasssolution
 A minimax principle
 References
