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The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure

Olszak Zbigniew (Wrocław University of Technology, Institute of Mathematics and Computer Science, Wrocław, Poland)

We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized. Certain curvature properties of this connection are found.

Keywords: distribution, Schouten-van Kampen affine connection, almost (para)contact metric manifold, (para) contact distribution