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On the asymptotic Plateau problem in hyperbolic space | | Siyuan Lu
; | | Date: |
1 Jun 2022 | | Abstract: | In this paper, we solve the asymptotic Plateau problem in hyperbolic space
for constant $sigma_{n-1}$ curvature, i.e. the existence of a complete
hypersurface in $mathbb{H}^{n+1}$ satisfying $sigma_{n-1}(kappa)=sigmain
(0,n)$ with a prescribed asymptotic boundary $Gamma$. The key ingredient is
the curvature estimates. Previously, this is only known for
$sigma_0<sigma<n$, where $sigma_0$ is a positive constant. | | Source: | arXiv, 2206.00161 | | Services: | Forum | Review | PDF | Favorites | |
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