Work

Quermassintegral inequalities for capillary hypersurfaces in a horoball

Year: 2026

Type: preprint

Abstract: In this paper, we study the quermassintegral inequalities for capillary hypersurfaces in a horoball in hyperbolic space. We construct a locally constrained nonlinear curvature flow that preserves the $k$-th quermassintegral while monotonically increasing the $l$-th quermassintegral for any $(1\leq l

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.30771

Authors: Guo, Jinyu, Weng, Liangjun

Institutions: Fujian Normal University, Scuola Normale Superiore, Centro di Ricerca Matematica Ennio De Giorgi

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

OpenAlex ID: W7223304583

Cites: 5

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Related to: 10