Evolving hypersurfaces by their mean curvature in the background manifold evolving by Ricci flow

DOI10.1142/S0219199715500923zbMath1360.53071arXiv1407.5195OpenAlexW2964074159MaRDI QIDQ3179537

Haobin Yu, Weimin Sheng

Publication date: 21 December 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5195

zbMATH Keywords

mean curvature flownormalized Ricci flowtotally geodesic sphere

Mathematics Subject Classification ID

Related Items (2)

Singularity of connection Ricci flow for three-manifolds ⋮ Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Flow by mean curvature inside a moving ambient space
• Generic mean curvature flow. I: Generic singularities
• Mean curvature flow in a Ricci flow background
• Deforming hypersurfaces of the sphere by their mean curvature
• Convex solutions to the mean curvature flow
• Flow by mean curvature of convex surfaces into spheres
• Asymptotic behavior for singularities of the mean curvature flow
• Singularity profile in the mean curvature flow
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• Ricci deformation of the metric on a Riemannian manifold
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Three-manifolds with positive Ricci curvature
• Minimal varieties in Riemannian manifolds
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• A mean-curvature flow along a Kähler–Ricci flow

This page was built for publication: Evolving hypersurfaces by their mean curvature in the background manifold evolving by Ricci flow