Comptes Rendus
no. 11-12
Geometry
An almost paracontact structure on a Rizza manifold
[Structure presque-paracontacte sur une variété de Rizza]

Présenté par : the Editorial Board

Esmaeil Peyghan1 ; Leila Nourmohammadi Far1
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.

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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Accepté le :
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DOI : 10.1016/j.crma.2011.06.005
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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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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[3] Y. Ichijyō Almost Hermitian Finsler manifolds and nonlinear connections, Conf. Semin. Mat. Univ. Bari, vol. 215, 1986, pp. 1-13

[4] N. Lee On the special Finsler metric, Bull. Korean Math. Soc., Volume 40 (2003), pp. 457-464

[5] N. Lee; D.Y. Won Lichnerowicz connections in almost complex Finsler manifold, Bull. Korean Math. Soc., Volume 42 (2005), pp. 405-413

[6] G.B. Rizza Strutture di Finsler sulle varieta quasi complesse, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, Volume 33 (1962), pp. 271-275

[7] D.Y. Won; N. Lee Connections on almost complex Finsler manifolds and Kobayashi Hyperbolicity, J. Korean Math. Soc., Volume 44 (2007), pp. 237-247

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