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Sasakian Finsler structures on pulled-back bundle

Under a pulled-back approach given in [1] and firstly presented in [2], we introduce, in this paper, the concepts of almost contact and normal almost contact Finsler structures on the pulled-back bundle. Properties of structures partly Sasakians are studied. Using the hh-curvature tensor of Chern connection given in [2], we obtain some characterizations of horizontally Finslerian K-contact structures via the horizontal Ricci tensor and the flag curvature.

preprint2016arXivOpen access
Fortuné MassambaSalomon Joseph Mbatakou
math.DG
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Fortuné MassambaSalomon Joseph Mbatakou

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