Inscribed and Circumscribed Radius of κ-Convex Hypersurfaces in Hadamard Manifolds
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. Mathematical Subject Classification 2020: 52A40
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| Date: | 2024 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2024
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1075 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |