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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in the complex Euclidean plane

Author(s): Ildefonso Castro; Ana M. Lerma
Journal: Proc. Amer. Math. Soc. 138 (2010), 1821-1832.
MSC (2010): Primary 53C42, 53B25; Secondary 53D12
Posted: December 30, 2009
MathSciNet review: 2587467
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Abstract | References | Similar articles | Additional information

Abstract: We classify all Hamiltonian stationary Lagrangian surfaces in the complex Euclidean plane which are self-similar solutions of the mean curvature flow.


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Additional Information:

Ildefonso Castro
Affiliation: Departamento de Matemáticas, Universidad de Jaén, 23071 Jaén, Spain
Email: icastro@ujaen.es

Ana M. Lerma
Affiliation: Departamento de Matemáticas, Universidad de Jaén, 23071 Jaén, Spain
Email: alerma@ujaen.es

DOI: 10.1090/S0002-9939-09-10134-X
PII: S 0002-9939(09)10134-X
Keywords: Mean curvature flow, self-similar solutions, Hamiltonian stationary Lagrangian surfaces.
Received by editor(s): June 17, 2009,
Received by editor(s) in revised form: July 27, 2009
Posted: December 30, 2009
Additional Notes: This research was partially supported by MEC-Feder grant MTM2007-61775
Communicated by: Jon G. Wolfson
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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