Flow of pinched convex hypersurfaces by powers of curvature functions in hyperbolic space

DOI10.1016/j.jmaa.2017.12.034zbMath1381.53120OpenAlexW2771970941MaRDI QIDQ681787

Yusha Lv, Guang Han Li

Publication date: 13 February 2018

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.2017.12.034

zbMATH Keywords

hyperbolic spacecurvature flow\(h\)-convex hypersurface

Mathematics Subject Classification ID

Related Items (1)

Contracting convex hypersurfaces in space form by non-homogeneous curvature function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen
• Volume-preserving flow by powers of the \(m\)th mean curvature
• Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• Deforming convex hypersurfaces by the square root of the scalar curvature
• Total curvatures of convex hypersurfaces in hyperbolic space
• Contraction of convex hypersurfaces in Riemannian spaces
• Contraction of convex hypersurfaces in Euclidean space
• Starshaped hypersurfaces and the mean curvature flow
• Comparison theorems on convex hypersurfaces in Hadamard manifolds
• Volume-preserving flow by powers of the \(m\text{-th}\) mean curvature in the hyperbolic space
• Three-manifolds with positive Ricci curvature
• Minimal varieties in Riemannian manifolds
• Evolution of convex hypersurfaces by powers of the mean curvature
• DEFORMING PINCHED HYPERSURFACES OF THE HYPERBOLIC SPACE BY POWERS OF THE MEAN CURVATURE INTO SPHERES
• Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
• CONTRACTION OF HOROSPHERE-CONVEX HYPERSURFACES BY POWERS OF THE MEAN CURVATURE IN THE HYPERBOLIC SPACE
• Evolution of hypersurfaces by powers of the scalar curvature
• Deforming a hypersurface by its Gauss-Kronecker curvature
• A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
• Volume preserving mean curvature flow in the hyperbolic space

This page was built for publication: Flow of pinched convex hypersurfaces by powers of curvature functions in hyperbolic space