Work

The log-Minkowski inequality of curvature entropy for non-symmetric convex bodies

Year: 2022

Type: preprint

Abstract: In an earlier paper \cite{mazeng} the authors introduced the notion of curvature entropy, and proved the plane log-Minkowski inequality of curvature entropy under the symmetry assumption. In this paper we demonstrate the plane log-Minkowski inequality of curvature entropy for general convex bodies. The equivalence of the uniqueness of cone-volume measure, the log-Minkowski inequality of volume, and the log-Minkowski inequality of curvature entropy for general convex bodies in $\mathbb R^{2}$ are shown.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2211.14484

Authors: Zeng, Chunna, Dong, Xu, Wang, Yaling, Ma, Lei

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China

Awards: G4952392286, G7949456625

OpenAlex ID: W4310414832

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