Sur la Conjecture Des Tores Plats

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dc.creatorBoyom, Michel Nguiffo
dc.date2002-02-25
dc.date.accessioned2026-07-07T04:46:40Z
dc.date.available2026-07-07T04:46:40Z
dc.descriptionThe present work is devoted to compact completely solvable solvmanifolds which admit Kahlerian metrics whose Kahler forms are homogeneous. In particular, we show that such manifolds are diffeomorphic to flat tori. Our proof is based on Dynkin diagrams associated to left invariant closed 2-forms in completely solvable Lie groups. These diagrams are shown to be closely related to Lagrangian foliations,primitive degrees of homogeneous spaces, and geometric structures such as $(\bkR^ n, Aff (\bkR^ n))$-structures on symplectic homogeneous spaces.
dc.identifierhttps://arxiv.org/abs/math/0202257
dc.identifierhttp://arxiv.org/abs/math/0202257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63427
dc.subjectDifferential Geometry
dc.subject22E 25, 22E45, 53A10
dc.titleSur la Conjecture Des Tores Plats
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