Hiroshi Nakahara
Published 2014-01-15, updated 2015-03-08Version 3
We obtain explicit solutions of the mean curvature flow in some submanifolds of the Euclidean space. We give particularly an explicit solution of the flow of a hypersurface in the Lagrangian self-expander $L$ which is constructed in the article of Joyce, Lee and Tsui and show that it converge to a minimal one.
Comments: 8 pages, 1 figure
Pinching of the First Eigenvalue of the Laplacian and almost-Einstein Hypersurfaces of the Euclidean Space
A pinching theorem for the first eigenvalue of the laplacian on hypersurface of the euclidean space
Mean curvature flow with flat normal bundles
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