Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups

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dc.creatorKhesin, Boris
dc.creatorMisiolek, Gerard
dc.date2005-04-27
dc.date.accessioned2026-07-07T06:21:56Z
dc.date.available2026-07-07T06:21:56Z
dc.descriptionIn this note we obtain the characterization for asymptotic directions on various subgroups of the diffeomorphism group. We give a simple proof of non-existence of such directions for area-preserving diffeomorphisms of closed surfaces of non-zero curvature. Finally, we exhibit the common origin of the Monge-Ampere equations in 2D fluid dynamics and mass transport.
dc.description10 pages, 1 fig., to appear in J. of Math. Fluid Mechanics
dc.identifierhttps://arxiv.org/abs/math/0504556
dc.identifierhttp://arxiv.org/abs/math/0504556
dc.identifierJ. Math. Fluid Mech., vol. 7 (2005), S365-S375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95760
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58B20 (Primary); 76B03 (Secondary)
dc.titleAsymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups
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