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

Abstract

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.

Presented at XVII Geometrical Seminar, Zlatibor 2012, Serbia

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• On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type
• Gauss-Bonnet theorems associated to deformed Schouten-Van Kampen connection in the affine group and the group of rigid motions of the Minkowski plane
• Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure