Some examples of self-similar solutions and translating solitons for mean curvature flow

preprint2011arXivOpen access

Abstract

We construct new examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow by extending the method of Joyce, Lee and Tsui. Those examples include examples in which the Lagrangian angle is arbitrarily small as the examples of Joyce, Lee and Tsui.

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