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TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS

XIAOLI HAN, JIAYU LI

Source record

Source: Crossref

Published: Apr 1, 2009

DOI: 10.1142/s0129167x09005352

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Source abstract

In this paper, we construct finite blow-up examples for symplectic mean curvature flows and we study properties of symplectic translating solitons. We prove that, the Kähler angle α of a symplectic translating soliton with max |A| = 1 satisfies that [Formula: see text] where T is the direction in which the surface translates.

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TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS — Mathematical Frontier Network