Curvature quotient flows and Alexandrov--Fenchel inequalities in hyperbolic space

We study quermassintegral-preserving curvature flows in $\mathbb H^{n+1}$, $n\geq3$, driven by the curvature quotient $(E_k/E_\ell)^{1/(k-\ell)}$. For $1\leq\ell

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35707
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

Curvature quotient flows and Alexandrov--Fenchel inequalities in hyperbolic space

Rong Zhou, Tianci Luo, Yong Wei, Ruijia Zhang
arXiv (Cornell University)
Geometric Analysis and Curvature Flows
preprint

Curvature quotient flows and Alexandrov--Fenchel inequalities in hyperbolic space

Rong Zhou, Tianci Luo, Yong Wei, Ruijia Zhang
preprint en

Abstract

We study quermassintegral-preserving curvature flows in $\mathbb H^{n+1}$, $n\geq3$, driven by the curvature quotient $(E_k/E_\ell)^{1/(k-\ell)}$. For $1\leq\ell

arXiv (Cornell University)
Geometric Analysis and Curvature Flows
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Curvature quotient flows and Alexandrov--Fenchel inequalities in hyperbolic space — Rong Zhou, Tianci Luo, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS