On the Existence of Embedded Minimal Surfaces of Higher Genus with Free Boundaries in Riemannian Manifolds

Jürgen Jost

A chapter in Variational Methods for Free Surface Interfaces, 1987, pp 65-75 from Springer

Abstract: Abstract In this chapter we consider the following configuration: a Riemannian manifold X of bounded geometry, some closed Jordan curves Γ j , and a supporting surface ∂K, disjoint from the Γ j . We further assume that the Γ j are contained in a suitable barrier ∂A of nonnegative mean curvature (cf. §2 for details).

Keywords: Free Boundary; Minimal Surface; Boundary Curve; Hyperbolic Surface; Injectivity Radius (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4656-5_7

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DOI: 10.1007/978-1-4612-4656-5_7

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