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Hamiltonian L-stability of Lagrangian translating solitons

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Abstract

In this paper, we study the Hamiltonian L-stability of Lagrangian translating solitons to the mean curvature flow. We prove that any Lagrangian translating soliton is Hamiltonian L-stable.

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Acknowledgments

The author would like to thank Professor William P. Minicozzi II for introducing this problem to her and for helpful suggestions. She would also like to thank Professor Gang Tian for his support and comments. She is grateful to Professor Bohan and also the referee for their helpful comments.

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Authors and Affiliations

  1. Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, People’s Republic of China

    Liuqing Yang

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  1. Liuqing Yang
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Correspondence to Liuqing Yang.

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Yang, L. Hamiltonian L-stability of Lagrangian translating solitons. Geom Dedicata 179, 169–176 (2015). https://doi.org/10.1007/s10711-015-0073-9

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  • DOI: https://doi.org/10.1007/s10711-015-0073-9

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