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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A characterization of the Lagrangian pseudosphere


Authors: Ildefonso Castro and Francisco Urbano
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1797-1804
MSC (2000): Primary 53C42, 53B25; Secondary 53A05, 53D12
Published electronically: December 31, 2003
MathSciNet review: 2051144
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Abstract: We characterize the Lagrangian pseudosphere as the only branched Lagrangian immersion of a sphere in complex Euclidean plane with constant length mean curvature vector.


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Additional Information

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

Francisco Urbano
Affiliation: Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain
Email: furbano@ugr.es

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07377-5
PII: S 0002-9939(03)07377-5
Keywords: Constant length mean curvature vector, Lagrangian surfaces
Received by editor(s): February 11, 2003
Published electronically: December 31, 2003
Additional Notes: Research partially supported by an MCYT and FEDER grant BFM2001-2967
Dedicated: Dedicated to B. Y. Chen on his 60th birthday
Communicated by: Jon G. Wolfson
Article copyright: © Copyright 2003 American Mathematical Society



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