Almost complex structures on the cotangent bundle

Details Almost complex structures on the cotangent bundle Almost complex structures on the cotangent bundle

2005-07-04

arxiv.org/abs/math/0507068v3

Mathematics

Complex Variables

14 pages

Scientific paper

We construct some lift of an almost complex structure to the cotangent
bundle, using a connection on the base manifold. This generalizes 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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