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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

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 
@article{PIM_2013_N_S_94_108_a2,
     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 },
     year = {2013},
     volume = {_N_S_94},
     number = {108},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a2/}
}
TY  - JOUR
AU  - Zbigniew Olszak
TI  - The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
JO  - Publications de l'Institut Mathématique
PY  - 2013
SP  - 31 
VL  - _N_S_94
IS  - 108
UR  - http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a2/
LA  - en
ID  - PIM_2013_N_S_94_108_a2
ER  - 
%0 Journal Article
%A Zbigniew Olszak
%T The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
%J Publications de l'Institut Mathématique
%D 2013
%P 31 
%V _N_S_94
%N 108
%U http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a2/
%G en
%F PIM_2013_N_S_94_108_a2
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/