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MEAN CURVATURE FLOW OF HIGHER CODIMENSION IN RIEMANNIAN MANIFOLDS
MEAN CURVATURE HIGHER CODIMENSION RIEMANNIAN MANIFOLDS
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2018/4/19
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching conditio...
Mean curvature flow of higher codimension in Riemannian manifolds
Mean curvature flow submanifolds convergence theorem curvature pinching Riemannian manifolds
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2012/4/17
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching conditio...
Mean curvature flow of higher codimension in hyperbolic spaces
Mean curvature higher codimension hyperbolic spaces
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2018/4/19
In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curvature flow deforms a...
The extension and convergence of mean curvature flow in higher codimension
extension convergence mean curvature higher codimension
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2018/4/19
In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension d 1, which generalizes the extension t...
The Gauss image of entire graphs of higher codimension and Bernstein type theorems
Gauss image entire graphs of higher codimension Bernstein type theorems
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2010/12/9
Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and derive a-priori esti...