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arXiv · 2505.00760

Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II

Bin Wang
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Abstract

In this note, we investigate the existence of smooth complete hypersurfaces in hyperbolic space with constant $(n-2)$-curvature and a prescribed asymptotic boundary at infinity. Previously, the existence was known only for a restricted range of curvature values, while in here, by deriving curvature estimates, we are able to deduce the existence for all possible curvature values.

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Bin Wang. 2026-04-25. Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II. https://arxiv.org/abs/2505.00760

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