Stability of the quermassintegral inequalities in hyperbolic space

DOI10.1007/s12220-023-01453-0zbMath1527.53040arXiv2306.17610OpenAlexW4388127687MaRDI QIDQ6089371

Prachi Sahjwani, Julian Scheuer

Publication date: 17 November 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.17610

zbMATH Keywords

hyperbolic spacecurvature flowsquermassintegral inequalities

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Mixed volumes and related topics in convex geometry (52A39) Geometric evolution equations (53E99)

Cites Work

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• The sharp quantitative isoperimetric inequality
• Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
• Stability Estimates for some Geometric Inequalities
• Stability in the Aleksandrov‐Fenchel‐Jessen Theorem
• Isoperimetric Type Inequalities and Hypersurface Flows
• A Mean Curvature Type Flow in Space Forms
• Convex Bodies The Brunn-MinkowskiTheory

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