A topological sphere theorem for submanifolds of the hyperbolic space

Published 22 Apr 2024 in math.DG | (2404.14023v1)

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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Authors (2)

References (2)

Dajczer, M. and Tojeiro, R., “Submanifold theory beyond an introduction”. Springer, 2019.
Spanier, E., “Algebraic topology”, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966.

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