Mean curvature flow via convex functions on Grassmannian manifolds

Xin, Y. L.; Yang, Lei

doi:10.1007/s11401-009-0173-7

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Y L Xin1

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2011

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“…Recently, the mean curvature flow of higher codimension received much attention (see [2][3][4][17][18][19]25] and [26] for example). In this paper we investigate the mean curvature deformation of a complete space-like submanifold in pseudo-Euclidean space.…”

Section: Y L Xinmentioning

confidence: 99%

Mean Curvature Flow with Bounded Gauss Image

Xin

2011

Results. Math.

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We study the mean curvature flow of a complete space-like submanifold in pseudo-Euclidean space with bounded Gauss image and bounded curvature. We establish a relevant maximum principle for our setting. Then, we can obtain the "confinable property" of the Gauss images and curvature estimates under the mean curvature flow. Thus we prove a corresponding long time existence result.Mathematics Subject Classification (2010). Primary 53C44.

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