Geodesic
On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
Colloquium Mathematicum, Tome 62 (1991) no. 2, pp. 293-297.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show that a K-contact Riemannian manifold with vanishing E-contact Bochner curvature tensor is a Sasakian manifold.
DOI : 10.4064/cm-62-2-293-297

Hiroshi Endo 1

1 
@article{10_4064_cm_62_2_293_297,
     author = {Hiroshi Endo},
     title = {On {K-contact} {Riemannian} manifolds with vanishing {E-contact} {Bochner} curvature tensor},
     journal = {Colloquium Mathematicum},
     pages = {293--297},
     publisher = {mathdoc},
     volume = {62},
     number = {2},
     year = {1991},
     doi = {10.4064/cm-62-2-293-297},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-62-2-293-297/}
}
TY  - JOUR
AU  - Hiroshi Endo
TI  - On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
JO  - Colloquium Mathematicum
PY  - 1991
SP  - 293
EP  - 297
VL  - 62
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-62-2-293-297/
DO  - 10.4064/cm-62-2-293-297
LA  - en
ID  - 10_4064_cm_62_2_293_297
ER  - 
%0 Journal Article
%A Hiroshi Endo
%T On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
%J Colloquium Mathematicum
%D 1991
%P 293-297
%V 62
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-62-2-293-297/
%R 10.4064/cm-62-2-293-297
%G en
%F 10_4064_cm_62_2_293_297
Hiroshi Endo. On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor. Colloquium Mathematicum, Tome 62 (1991) no. 2, pp. 293-297. doi : 10.4064/cm-62-2-293-297. http://geodesic.mathdoc.fr/articles/10.4064/cm-62-2-293-297/

Cité par Sources :