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Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space

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Publication:1340960
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DOI10.1007/BF02571945zbMath0813.53039MaRDI QIDQ1340960

Xianqing Li-Jost

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174691


zbMATH Keywords

minimal surfacefoliationimplicit function theoremmountain-pass theoremplateau problemclosed Jordan curve


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items (4)

Bifurcation near solutions of variational problems with degenerate second variation ⋮ Uniqueness of \(\mathrm{PL}\) minimal surfaces ⋮ Unstable minimal surfaces of annulus type in manifolds ⋮ Generic uniqueness of least area planes in hyperbolic space




Cites Work

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  • Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung
  • On embedded minimal surfaces
  • A new uniqueness theorem for minimal surfaces
  • The number of branch points of surfaces of bounded mean curvature
  • On the Size of a Stable Minimal Surface in R 3
  • On the number of simply connected minimal surfaces spanning a curve




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