Abstract
In this paper, we introduce a new type of geometric structures (calledp-almost tangent structures). They are a natural generalization of almost tangent structures. Moreover, the tangent budle ofp 1-velocitiesT 1 p M of any manifoldM carries a canonicalp-almost tangent structure (hence the name). We interpret ap-almost tangent structure as a type ofG-structure and stablish its integrability in terms of the vanishing of some tensor fields associated with it. Finally, the existence of an adapted symmetric connection is proved.
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De León, M., Méndez, I. & Salgado, M. p-Almost tangent structures. Rend. Circ. Mat. Palermo 37, 282–294 (1988). https://doi.org/10.1007/BF02844526
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DOI: https://doi.org/10.1007/BF02844526