Geometry
An almost paracontact structure on a Rizza manifold
[Structure presque-paracontacte sur une variété de Rizza]
Comptes Rendus. Mathématique, Tome 349 (2011) no. 11-12, pp. 683-686.

On construit une classe de structures repérées sur lʼespace tangent marqué dʼune variété de Rizza. On démontre que cette classe induit une métrique presque-paracontacte sur lʼespace fibré de lʼindicatrice.

We construct a class of framed f(3,1)-structure on the slit tangent space of a Rizza manifold. In the special case, we show that this class induces on the indicatrix bundle an almost paracontact metric structure.

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DOI : 10.1016/j.crma.2011.06.005
Peyghan, Esmaeil 1 ; Nourmohammadi Far, Leila 1

1 Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
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Peyghan, Esmaeil; Nourmohammadi Far, Leila. An almost paracontact structure on a Rizza manifold. Comptes Rendus. Mathématique, Tome 349 (2011) no. 11-12, pp. 683-686. doi : 10.1016/j.crma.2011.06.005. http://www.numdam.org/articles/10.1016/j.crma.2011.06.005/

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