A topological sphere theorem for submanifolds of the hyperbolic space
Differential Geometry
2024-04-23 v1
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.
Keywords
Cite
@article{arxiv.2404.14023,
title = {A topological sphere theorem for submanifolds of the hyperbolic space},
author = {M. Dajczer and Th. Vlachos},
journal= {arXiv preprint arXiv:2404.14023},
year = {2024}
}