TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS-Reference-Cited by-同舟云学术

TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS

Published:2009-04 Issue:04 Volume:20 Page:443-458
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

HAN XIAOLI¹,LI JIAYU²³

Affiliation:

1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

2. Math. Group, The Abdus Salam ICTP, Trieste 34100, Italy

3. Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005352

Reference19 articles.

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