Structures de Monge-Ampere symplectiques non degenerees en dimension 6

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dc.creatorBanos, Bertrand
dc.date2002-05-23
dc.date.accessioned2026-07-07T04:48:39Z
dc.date.available2026-07-07T04:48:39Z
dc.descriptionWe define a non-degenerated Monge-Ampere structure on a 6-manifold associated with a Monge-Ampere equation as a couple (Ω,ω), such that Ωis a symplectic form and ωis a 3-differential form which satisfies ω\wedgeΩ=0 and which is non-degenerated in the sense of Hitchin. We associate with such a couple an almost (pseudo) Calabi-Yau structure and we study its integrability from the point of view of Monge-Ampere operators theory. The result we prove appears as an analogue of Lychagin and Roubtsov theorem on integrability of the almost complex or almost product structure associated with an elliptic or hyperbolic Monge-Ampere equation in the dimension 4. We study from this point of view the example of the Stenzel metric on T*S^3.
dc.description18 pages, in french
dc.identifierhttps://arxiv.org/abs/math/0205240
dc.identifierhttp://arxiv.org/abs/math/0205240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64131
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleStructures de Monge-Ampere symplectiques non degenerees en dimension 6
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