Lagrangian surfaces with circullar ellipse of curvature in complex space forms

Details Lagrangian surfaces with circullar ellipse of curvature in complex space forms Lagrangian surfaces with circullar ellipse of curvature in complex space forms

2002-10-09

arxiv.org/abs/math/0210134v1

Mathematics

Differential Geometry

9 pages. To appear in Mathematical Proceedings of the Cambridge Philosophical Society

Scientific paper

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.

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