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arXiv · 1003.3246

Rigidity of Entire self-shrinking solutions to curvature flows

Albert Chau·Jingyi Chen·Yu Yuan
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Abstract

We show that (a) any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ${\mathbb C}^{m}$ with the Euclidean metric is flat; (b) any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ${\mathbb C}^{m}$ with the pseudo-Euclidean metric is flat if the Hessian of the potential is bounded below quadratically; and (c) the Hermitian counterpart of (b) for the Kähler Ricci flow.

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Albert Chau, Jingyi Chen, Yu Yuan. 2010-03-16. Rigidity of Entire self-shrinking solutions to curvature flows. https://arxiv.org/abs/1003.3246

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