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de Lellis, Camillo; Pellandini, Filippo

Genus bounds for minimal surfaces arising from min-max constructions. (English) Zbl 1201.53009

J. Reine Angew. Math. 644, 47-99 (2010).
In [The min-max construction of minimal surfaces. Harvard University, Cambridge, MA, USA, May 3–5, 2002. Somerville, MA: International Press. Surv. Differ. Geom. 8, 75–107 (2003; Zbl 1051.53052)], T. H. Colding and the first author gave a survey on constructing closed embedded minimal surfaces in a closed 3-dimensional manifold via min-max arguments. In this paper, the authors complete the survey by giving genus hounds for the final min-max surface.
Reviewer: Kaarin Riives (Tartu)

Cited in 1 Review
Cited in 5 Documents

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Keywords:

minimal surfaces; genus bounds; min-max constructions

Citations:

Zbl 1051.53052
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\textit{C. de Lellis} and \textit{F. Pellandini}, J. Reine Angew. Math. 644, 47--99 (2010; Zbl 1201.53009)
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References:

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