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arXiv:math/0210134 [math.DG]AbstractReferencesReviewsResources

Lagrangian surfaces with circullar ellipse of curvature in complex space forms

Ildefonso Castro

Published 2002-10-09Version 1

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 of the complex projective plane and of the Whitney spheres in the complex projective, complex Euclidean and complex hyperbolic planes.

Comments: 9 pages. To appear in Mathematical Proceedings of the Cambridge Philosophical Society
Journal: Math. Proc. Cambridge Philos. Soc. 136 (2004), 239-245
Categories: math.DG
Subjects: 53C42, 53C40
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