An almost paracontact structure on a Rizza manifold

Esmaeil Peyghan; Leila Nourmohammadi Far

doi:10.1016/j.crma.2011.06.005

Geometry

An almost paracontact structure on a Rizza manifold

Presented by: the Editorial Board

Esmaeil Peyghan ¹; Leila Nourmohammadi Far ¹

¹ Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

Comptes Rendus. Mathématique, Volume 349 (2011) no. 11-12, pp. 683-686.

Abstract
Résumé

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.

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.

Received: 2011-04-14
Accepted: 2011-06-06
Published online: 2011-06-01

DOI: 10.1016/j.crma.2011.06.005

Author's affiliations:

Esmaeil Peyghan ¹; Leila Nourmohammadi Far ¹

¹ Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

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     author = {Esmaeil Peyghan and Leila Nourmohammadi Far},
     title = {An almost paracontact structure on a {Rizza} manifold},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {683--686},
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     year = {2011},
     doi = {10.1016/j.crma.2011.06.005},
     language = {en},
}

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Esmaeil Peyghan; Leila Nourmohammadi Far. An almost paracontact structure on a Rizza manifold. Comptes Rendus. Mathématique, Volume 349 (2011) no. 11-12, pp. 683-686. doi : 10.1016/j.crma.2011.06.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.06.005/

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