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Pré-Publication, Document De Travail Année : 2006

Almost complex structures on the cotangent bundle

Résumé

We construct some lift of an almost complex structure to the cotangent bundle, using a connection on the base manifold. This unifies the complete lift defined by I.Sato and the horizontal lift introduced by K.Yano and S.Ishihara. We study some geometric properties of this lift and its compatibility with symplectic forms on the cotangent bundle.
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Dates et versions

hal-00005797 , version 1 (04-07-2005)
hal-00005797 , version 2 (05-07-2005)
hal-00005797 , version 3 (03-01-2006)

Identifiants

Citer

Florian Bertrand. Almost complex structures on the cotangent bundle. 2006. ⟨hal-00005797v3⟩
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