Geometric inequalities and their stabilities for modified quermassintegrals in hyperbolic space

DOI10.1016/J.NA.2024.113537zbMATH Open1541.53047MaRDI QIDQ6536706

Rong Zhou, Chaoqun Gao

Publication date: 13 May 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Heintze-Karcher type inequalityhorospherically convex domainsmodified quermassintegralsweighted curvature integrals

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Flows related to mean curvature (53E10)

Cites Work

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• Isoperimetric Type Inequalities and Hypersurface Flows
• A Mean Curvature Type Flow in Space Forms
• Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs
• Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
• Geometric inequalities involving three quantities in warped product manifolds

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