Meeks, William H. III; Yau, Shing-Tung The equivariant Dehn’s lemma and loop theorem. (English) Zbl 0469.57005 Comment. Math. Helv. 56, 225-239 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 34 Documents MSC: 57M35 Dehn’s lemma, sphere theorem, loop theorem, asphericity (MSC2010) 57S17 Finite transformation groups 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 58E12 Variational problems concerning minimal surfaces (problems in two independent variables) 49Q05 Minimal surfaces and optimization Keywords:least area mappings from compact planar domains into a three dimensional oriented convex manifold; equivariant Dehn’s lemma for planar domains; equivariant Dehn’s lemma for disks; equivariant loop theorem PDF BibTeX XML Cite \textit{W. H. Meeks III} and \textit{S.-T. Yau}, Comment. Math. Helv. 56, 225--239 (1981; Zbl 0469.57005) Full Text: DOI EuDML OpenURL