A note on singular time of mean curvature flow

DOI10.1007/s00209-009-0604-xzbMath1201.53075arXiv0810.3883OpenAlexW2086609809MaRDI QIDQ604225

Weiyong He, Chen, Jingyi

Publication date: 10 November 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3883

zbMATH Keywords

Riemannian manifoldvolume growthcompact submanifold

Mathematics Subject Classification ID

Related Items (15)

Lagrangian mean curvature flow of Whitney spheres ⋮ Convergence of mean curvature flow in hyper-Kähler manifolds ⋮ The mean curvature at the first singular time of the mean curvature flow ⋮ Mean curvature flow of area decreasing maps between Riemann surfaces ⋮ Legendrian mean curvature flow in \(\eta\)-Einstein Sasakian manifolds ⋮ The extension and convergence of mean curvature flow in higher codimension ⋮ Blow up of subcritical quantities at the first singular time of the mean curvature flow ⋮ Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds ⋮ The Kähler-Ricci mean curvature flow of a strictly area decreasing map Between Riemann Surfaces ⋮ The extension for mean curvature flow with finite integral curvature in Riemannian manifolds ⋮ Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones ⋮ Graphical mean curvature flow ⋮ Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow ⋮ On the type IIb solutions to mean curvature flow ⋮ Graphical mean curvature flow with bounded bi-Ricci curvature

Cites Work

• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Asymptotic behavior for singularities of the mean curvature flow
• On the parabolic kernel of the Schrödinger operator
• Monotonicity formulas for parabolic flows on manifolds
• A matrix Harnack estimate for the heat equation
• On the total curvature and area growth of minimal surfaces in \(\mathbb{R}^ n\)
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• A Compactness Property for Solutions of the Ricci Flow
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