Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane

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Let N be a complete, simply-connected surface of constant curvature κ\leq 0. Moreover, suppose that Ωand \tildeΩ are strictly convex domains in N with the same area. We show that there exists an area-preserving diffeomorphism from Ωto \tildeΩ whose graph is a minimal submanifold of N \times N.
revised version, to appear in J. Diff. Geom

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Differential Geometry, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/161757

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1897
 http://arxiv.org/abs/0805.1897

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arXiv