On almost-fuchsian submanifolds of Hadamard spaces and the asymptotic Plateau problem
Abstract
We consider minimal submanifolds of negatively curved spaces with small curvature. We show that in a Hadamard space with negatively pinched curvature - C ≤ K ≤ - 1 , complete minimal submanifolds with second fundamental form less than 1 everywhere bound a class of spheres at infinity for which the asymptotic Plateau problem is uniquely solvable.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Annales de l’institut Fourier
- Pages
- 1–15
- Publication date
- 26 March 2026
- Language
- EN