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arXiv · 2307.09123

Inscribed and circumscribed radius of $\kappa$-convex hypersurfaces in Hadamard manifolds

Alexander A. Borisenko·Vicente Miquel
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Abstract

Let $P$ be a convex polygon in a Hadamard surface $M$ with curvature $K$ satisfying $-k_2^2 \ge K \ge -k_1^2$. We give an upper bound of the circumradius of $P$ in terms of a lower bound of the curvature of $P$ at its vertices.

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Alexander A. Borisenko, Vicente Miquel. 2023-07-18. Inscribed and circumscribed radius of $\kappa$-convex hypersurfaces in Hadamard manifolds. https://arxiv.org/abs/2307.09123

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