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arXiv · 0706.4390

On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler surfaces

Ildefonso Castro·Francisco Torralbo·Francisco Urbano
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Abstract

Hamiltonian stationary Lagrangian spheres in Kaehler-Einstein surfaces are minimal. We prove that in the family of non-Einstein Kaehler surfaces given by the product $Σ_1\timesΣ_2$ of two complete orientable Riemannian surfaces of different constant Gauss curvatures, there is only a (non minimal) Hamiltonian stationary Lagrangian sphere. This example is defined when the surfaces $Σ_1$ and $ Σ_2$ are spheres.

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Ildefonso Castro, Francisco Torralbo, Francisco Urbano. 2007-06-29. On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler surfaces. https://arxiv.org/abs/0706.4390

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