most citedThe Extension for Mean Curvature Flow with Finite Integral Curvature in Riemannian Manifolds

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math.DG2009★ 1 cited

The Extension for Mean Curvature Flow with Finite Integral Curvature in Riemannian Manifolds

Hong-Wei Xu, Fei Ye, En-Tao Zhao

We investigate the integral conditions to extend the mean curvature flow in a Riemannian manifold. We prove that the mean curvature flow solution with finite total mean curvature o…

math.DG2009★ 6 cited

Extend Mean Curvature Flow with Finite Integral Curvature

Hong-Wei Xu, Fei Ye, En-Tao Zhao

In this note, we first prove that the solution of mean curvature flow on a finite time interval can be extended over time if the space-time integration of the norm of t…