Rigidity of Entire self-shrinking solutions to curvature flows - Mathematics > Differential GeometryReport as inadecuate




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Abstract: We show that a any entire graphic self-shrinking solution to the Lagrangianmean curvature flow in ${\mathbb C}^{m}$ with the Euclidean metric is flat; bany space-like entire graphic self-shrinking solution to the Lagrangian meancurvature flow in ${\mathbb C}^{m}$ with the pseudo-Euclidean metric is flat ifthe Hessian of the potential is bounded below quadratically; and c theHermitian counterpart of b for the K\-ahler Ricci flow.



Author: Albert Chau, Jingyi Chen, Yu Yuan

Source: https://arxiv.org/



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