Asymptotic Plateau Problem in H^2xR: Tall Curves
Baris Coskunuzer
TL;DR
This paper investigates the asymptotic Plateau problem in the hyperbolic plane cross real line, providing a comprehensive solution for finite curves that minimizes area surfaces.
Contribution
It offers a detailed analysis and solution for the existence of area minimizing surfaces bounded by finite curves in H^2×R.
Findings
Complete solution for finite curves in H^2×R
Characterization of area minimizing surfaces
Advances understanding of asymptotic boundary conditions
Abstract
We study the asymptotic Plateau problem in for area minimizing surfaces, and give a fairly complete solution for finite curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Code & Models
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Geometry and complex manifolds