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arXiv · 1307.5314

Spacelike Self-Similar Shrinking Solutions of the Mean Curvature Flow in Pseudo-Euclidean Spaces

Márcio Rostirolla Adames
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Abstract

I classify spacelike self-similar shrinking solutions of the mean curvature flow in pseudo-euclidean space in arbitrary codimension, if the mean curvature vector is not a null vector and the principal normal vector is parallel in the normal bundle. Moreover, I exclude the existence of such self-shrinkers in several cases. The classification is analogous to the existing classifications in the euclidean case of Huisken and Smoczyk.

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Márcio Rostirolla Adames. 2013-07-19. Spacelike Self-Similar Shrinking Solutions of the Mean Curvature Flow in Pseudo-Euclidean Spaces. https://arxiv.org/abs/1307.5314

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