Locally constrained inverse curvature flow and an Alexandrov-Fenchel inequality in de Sitter space

DOI10.1016/J.JMAA.2023.127439zbMath1526.53089OpenAlexW4378212569MaRDI QIDQ6112493

Kuicheng Ma

Publication date: 7 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127439

zbMATH Keywords

a priori estimatesquermassintegralsAlexandrov-Fenchel inequalitieslong-time existence

Mathematics Subject Classification ID

Flows related to mean curvature (53E10)

Cites Work

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• Contracting convex hypersurfaces by curvature
• Inequalities of Alexandrov-Fenchel type for convex hypersurfaces in hyperbolic space and in the sphere
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• Flow of nonconvex hypersurfaces into spheres
• The quermassintegral inequalities for \(k\)-convex starshaped domains
• Four-manifolds with positive curvature operator
• Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
• Volume preserving curvature flows in Lorentzian manifolds
• Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces
• Alexandrov-Fenchel type inequalities in the sphere
• Locally constrained curvature flows and geometric inequalities in hyperbolic space
• The Minkowski inequality in de Sitter space
• Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
• A fully-nonlinear flow and quermassintegral inequalities in the sphere
• A fully-nonlinear flow and quermassintegral inequalities

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