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arXiv · 2302.12409

Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space

Siyuan Lu
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Abstract

In this paper, we establish a curvature estimate for semi-convex solutions of Hessian equations in hyperbolic space. We also obtain a curvature estimate for admissible solutions to prescribed curvature measure type problem in hyperbolic space. A crucial ingredient in both estimates is a concavity inequality for Hessian operator.

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Siyuan Lu. 2023-02-24. Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space. https://arxiv.org/abs/2302.12409

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