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math.DG2008★ 1 cited
Surfaces with Parallel Mean Curvature Vector in S^2xS^2 and H^2xH^2
Francisco Torralbo, Francisco Urbano
Two holomorphic Hopf differentials for surfaces of non-null parallel mean curvature vector in S^2xS^2 and H^2xH^2 are constructed. A 1:1 correspondence between these surfaces and p…
math.DG2005
Hamiltonian stability and index of minimal Lagrangian surfaces of the complex projective plane
Francisco Urbano
We show that the Clifford torus and the totally geodesic real projective plane RP^2 in the complex projective plane CP^2 are the unique Hamiltonian stable minimal Lagrangian compac…
math.DG2000
A Willmore functional for compact surfaces of complex projective plane
Sebastian Montiel, Francisco Urbano
We propose the study of a conformally invariant functional for surfaces of complex projective plane which is closely related to the classical Willmore functional. We show that mini…