A topological sphere theorem for submanifolds of the hyperbolic space
Abstract
We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon the length of the mean curvature vector of the immersion.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 11
- Pages
- 4849–4858
- Publication date
- 13 May 2026
- Language
- EN