Geodesic
Geometry
An almost paracontact structure on a Rizza manifold
[Structure presque-paracontacte sur une variété de Rizza]

Présenté par : the Editorial Board

Peyghan, Esmaeil1 ; Nourmohammadi Far, Leila1
1 Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
Comptes Rendus. Mathématique, Tome 349 (2011) no. 11-12, pp. 683-686.

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
Accepté le :
Publié le :
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 
@article{CRMATH_2011__349_11-12_683_0,
     author = {Peyghan, Esmaeil and Nourmohammadi Far, Leila},
     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},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.06.005/}
}
TY  - JOUR
AU  - Peyghan, Esmaeil
AU  - Nourmohammadi Far, Leila
TI  - An almost paracontact structure on a Rizza manifold
JO  - Comptes Rendus. Mathématique
PY  - 2011
SP  - 683
EP  - 686
VL  - 349
IS  - 11-12
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.06.005/
DO  - 10.1016/j.crma.2011.06.005
LA  - en
ID  - CRMATH_2011__349_11-12_683_0
ER  - 
%0 Journal Article
%A Peyghan, Esmaeil
%A Nourmohammadi Far, Leila
%T An almost paracontact structure on a Rizza manifold
%J Comptes Rendus. Mathématique
%D 2011
%P 683-686
%V 349
%N 11-12
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.06.005/
%R 10.1016/j.crma.2011.06.005
%G en
%F CRMATH_2011__349_11-12_683_0
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://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.06.005/

[1] Heil, E. A relation between Finslerian and Hermitian metrics, Tensor (N.S.), Volume 16 (1965), pp. 1-3

[2] Ichijyō, Y. Kählerian Finsler manifold, J. Math. Tokushima Univ., Volume 28 (1994), pp. 19-27

[3] Ichijyō, Y. Almost Hermitian Finsler manifolds and nonlinear connections, Conf. Semin. Mat. Univ. Bari, vol. 215, 1986, pp. 1-13

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

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

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

Cité par Sources :