Geodesic
Quarter-symmetric generalized metric connections on a generalized Riemannian manifold
Filomat, Tome 37 (2023) no. 12, p. 3927

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We define and study the quarter-symmetric connection preserving the generalized metric G in the generalized Riemannian manifold. It is proved that skew-symmetric part F of the generalized metric G in the generalized Riemannian manifold with the quarter-symmetric generalized metric connection is closed and hence the even-dimensional manifold is a symplectic manifold. We also observed the properties of curvature tensors and connection transformations in which the Riemannian tensor of the Levi-Civita connection is invariant. Finally, we observed the quarter-symmetric connection with a special conditions.
DOI : 10.2298/FIL2312927Z
Classification : 53B05, 53C05
Keywords: Generalized Riemannian manifold, linear connection, quarter-symmetric connection, torsion tensor, symplectic manifold 
Milan Lj Zlatanović; Miroslav D Maksimović. Quarter-symmetric generalized metric connections on a generalized Riemannian manifold. Filomat, Tome 37 (2023) no. 12, p. 3927 . doi: 10.2298/FIL2312927Z
@article{10_2298_FIL2312927Z,
     author = {Milan Lj Zlatanovi\'c and Miroslav D Maksimovi\'c},
     title = {Quarter-symmetric generalized metric connections on a generalized {Riemannian} manifold},
     journal = {Filomat},
     pages = {3927 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312927Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312927Z/}
}
TY  - JOUR
AU  - Milan Lj Zlatanović
AU  - Miroslav D Maksimović
TI  - Quarter-symmetric generalized metric connections on a generalized Riemannian manifold
JO  - Filomat
PY  - 2023
SP  - 3927 
VL  - 37
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2312927Z/
DO  - 10.2298/FIL2312927Z
LA  - en
ID  - 10_2298_FIL2312927Z
ER  - 
%0 Journal Article
%A Milan Lj Zlatanović
%A Miroslav D Maksimović
%T Quarter-symmetric generalized metric connections on a generalized Riemannian manifold
%J Filomat
%D 2023
%P 3927 
%V 37
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2312927Z/
%R 10.2298/FIL2312927Z
%G en
%F 10_2298_FIL2312927Z

Cité par Sources :