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math.DGJul 1, 2009
10
citations (OpenAlex)
authors
  • Baris Coskunuzer
arXiv abstractPDF
paper

Asymptotic Plateau Problem

arXiv:0907.0552

Abstract

This is a survey of old and recent results about the asymptotic Plateau problem. Our aim is to give a fairly complete picture of the field, and present the current situation.

26 pages

References in corpus (5)

  • Foliations for Quasi-Fuchsian 3-Manifolds
  • Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds
  • On the Number of Solutions to Asymptotic Plateau Problem
  • A general regularity theory for stable codimension 1 integral varifolds
  • Number of Least Area Planes in Gromov Hyperbolic 3-Spaces

Cited by in corpus (4)

  • Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems
  • Non-properly Embedded Minimal Planes in Hyperbolic 3-Space
  • Complete Willmore surfaces in H3 with bounded energy: boundary regularity and bubbling
  • Counting Minimal Surfaces in Quasi-Fuchsian three-Manifolds
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