EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 31–42 (2013)

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THE SCHOUTEN-VAN KAMPEN AFFINE CONNECTIONS ADAPTED TO ALMOST (PARA)CONTACT METRIC STRUCTURES

Zbigniew Olszak

Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland

Abstract: We study the Schouten–van Kampen connection, which is one of the most natural and important connection adapted to a pair of distributions on a differentiable manifold. Especially, we are interested on Schouten–van Kampen connections which are adapted to almost contact metric as well as almost paracontact metric structures. With the help of such a connection, we find necessary and sufficient conditions for an almost (para) contact structure to be normal, or (para) contact, or (para-)Sasakian.

Keywords: Schouten–van Kampen affine connection, almost contact metric manifold, almost paracontact metric manifold, distribution

Classification (MSC2000): 53C25; 53C07, 53C15, 53D15

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

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