Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. (English) Zbl 0521.53007

Meeks, William H. III; Simon, Leon; Yau, Shing-Tung

Ann. Math. (2) 116, 621-659 (1982).

MSC:

53A10	Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
57N10	Topology of general \(3\)-manifolds (MSC2010)
57M40	Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
57N35	Embeddings and immersions in topological manifolds

Keywords:

minimal surface; three-manifold; embedded surface; irreducible three- manifold; Ricci curvature; mean curvature; area functional

Citations:

Zbl 0458.57007