TY - JOUR
T1 - Affine Isoperimetric Type Inequalities for Static Convex Domains in Hyperbolic Space
AU - Hu , Yingxiang
AU - Li , Haizhong
AU - Wan , Yao
AU - Xu , Botong
JO - Journal of Mathematical Study
VL - 1
SP - 62
EP - 81
PY - 2025
DA - 2025/03
SN - 58
DO - http://doi.org/10.4208/jms.v58n1.25.04
UR - https://global-sci.org/intro/article_detail/jms/23938.html
KW - Static convex, Blaschke-Santalό inequality, affine isoperimetric inequality, orthogonal projection, hyperbolic space.
AB - <p style="text-align: justify;">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.</p>