Open Access
2013 Some examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow
Hiroshi Nakahara
Tohoku Math. J. (2) 65(3): 411-425 (2013). DOI: 10.2748/tmj/1378991023

Abstract

We construct 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. The examples are non-smooth zero-Maslov class Lagrangian self-expanders which are asymptotic to a pair of planes intersecting transversely.

Citation

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Hiroshi Nakahara. "Some examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow." Tohoku Math. J. (2) 65 (3) 411 - 425, 2013. https://doi.org/10.2748/tmj/1378991023

Information

Published: 2013
First available in Project Euclid: 12 September 2013

zbMATH: 1293.53078
MathSciNet: MR3102542
Digital Object Identifier: 10.2748/tmj/1378991023

Subjects:
Primary: 53C44
Secondary: 53D12

Keywords: Lagrangian mean curvature flow , self-similar solution , translating soliton

Rights: Copyright © 2013 Tohoku University

Vol.65 • No. 3 • 2013
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