Geodesic
$LP$-Sasakian manifolds with generalized symmetric metric connection
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

Voir la notice de l'article provenant de la source Novi sad journal of mathematics website

The present study initially identifies the generalized symmetric connections of type $(\alpha,\beta)$, which can be regarded as more generalized forms of quarter and semi-symmetric connections. The quarter and semi-symmetric connections are obtained when $(\alpha,\beta)=(1,0)$ and $(\alpha,\beta)=(0,1)$, respectively. Taking this into account, a new generalized symmetric metric connection is attained on Lorentzian para-Sasakian manifolds. In accordance with this connection, some results are obtained through calculation of tensors belonging to a Lorentzian para-Sasakian manifold involving the curvature tensor, the Ricci tensor and the conformal curvature tensor.
Publié le :
DOI : 10.30755/NSJOM.11016
Classification : 53C15, 53C25, 53C40
Keywords: $LP$-Sasakian manifold, generalized symmetric metric connections 
@article{10.30755/NSJOM.11016,
     author = {O\u{g}uzhan Bahadir and Majid Ali Choudhary and Shashikant Pandey},
     title = {$LP${-Sasakian} manifolds with generalized symmetric metric connection},
     journal = {Novi Sad Journal of Mathematics},
     pages = {75 - 87},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2021},
     doi = {10.30755/NSJOM.11016},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11016/}
}
TY  - JOUR
AU  - Oğuzhan Bahadir
AU  - Majid Ali Choudhary
AU  - Shashikant Pandey
TI  - $LP$-Sasakian manifolds with generalized symmetric metric connection
JO  - Novi Sad Journal of Mathematics
PY  - 2021
SP  - 75 
EP  -  87
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11016/
DO  - 10.30755/NSJOM.11016
ID  - 10.30755/NSJOM.11016
ER  - 
%0 Journal Article
%A Oğuzhan Bahadir
%A Majid Ali Choudhary
%A Shashikant Pandey
%T $LP$-Sasakian manifolds with generalized symmetric metric connection
%J Novi Sad Journal of Mathematics
%D 2021
%P 75 - 87
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11016/
%R 10.30755/NSJOM.11016
%F 10.30755/NSJOM.11016
Oğuzhan Bahadir; Majid Ali Choudhary; Shashikant Pandey. $LP$-Sasakian manifolds with generalized symmetric metric connection. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.11016. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11016/

Cité par Sources :