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Lagrangian surfaces with circular ellipse of curvature in complex space forms
Published online by Cambridge University Press: 15 January 2004
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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