A topological sphere theorem for submanifolds of the hyperbolic space

M. Dajczer; Th. Vlachos

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arXiv · 2404.14023

A topological sphere theorem for submanifolds of the hyperbolic space

M. Dajczer·Th. Vlachos

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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.

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BibTeX RIS

M. Dajczer, Th. Vlachos. 2024-04-22. A topological sphere theorem for submanifolds of the hyperbolic space. https://arxiv.org/abs/2404.14023

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