Geodesic
The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 31

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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.
Classification : 53C25 53C07 53C15 53D15
Keywords: Schouten-van Kampen affine connection, almost contact metric manifold, almost paracontact metric manifold, distribution 
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     author = {Zbigniew Olszak},
     title = {The {Schouten-van} {Kampen} {Affine} {Connections} {Adapted} to {Almost} {(Para)Contact} {Metric} {Structures}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {31 },
     publisher = {mathdoc},
     volume = {_N_S_94},
     number = {108},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a2/}
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Zbigniew Olszak. The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures. Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 31 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a2/