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Affine Isoperimetric Type Inequalities for Static Convex Domains in Hyperbolic Space

Year: 2025

Type: article

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.

Source: Journal of Mathematical Study

DOI: 10.4208/jms.v58n1.25.04

Authors: Yingxiang Hu, Haizhong Li, Yao Wan, Botong Xu

Institutions: Beihang University, Tsinghua University, Chinese University of Hong Kong, Technion – Israel Institute of Technology

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities

OpenAlex ID: W4408991519

FWCI:

Cites: 35

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Related to: 10