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
[Structure presque-paracontacte sur une variété de Rizza]

Présenté par : 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.

Résumé
Abstract

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.

Reçu le : 2011-04-14
Accepté le : 2011-06-06
Publié le : 2011-06-01

DOI : 10.1016/j.crma.2011.06.005

Affiliations des auteurs :

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},
     publisher = {Elsevier},
     volume = {349},
     number = {11-12},
     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/

Bibliographie
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