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Lagrangian surfaces with circular ellipse of curvature in complex space forms

Published online by Cambridge University Press:  15 January 2004

ILDEFONSO CASTRO
ILDEFONSO CASTRO
Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Jaén, 2307 Jaén, Spain. e-mail: icastro@ujaen.es
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Abstract

We classify the Lagrangian orientable surfaces in complex space forms with the property that the ellipse of curvature is always a circle. As a consequence, we obtain new characterizations of the Clifford torus in the complex projective plane and of the Whitney spheres in the complex projective, complex Euclidean and complex hyperbolic planes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 1 , January 2004 , pp. 239 - 245
Copyright
2004 Cambridge Philosophical Society

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