Year: 2025
Author: Yingxiang Hu, Haizhong Li, Yao Wan, Botong Xu
Journal of Mathematical Study, Vol. 58 (2025), Iss. 1 : pp. 62–81
Abstract
In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish affine isoperimetric type inequalities for static convex domains in hyperbolic space. Moreover, equality of such inequalities is characterized by these hyperbolic ellipsoids.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v58n1.25.04
Journal of Mathematical Study, Vol. 58 (2025), Iss. 1 : pp. 62–81
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Static convex Blaschke-Santalό inequality affine isoperimetric inequality orthogonal projection hyperbolic space.