Turkish Journal of Mathematics
DOI
10.3906/mat-1902-2
Abstract
We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establish its existence. It is proved that such connection on a Riemannian manifold is projectively invariant under certain conditions. We also find many basic results of the Riemannian manifolds and study the properties of group manifolds and submanifolds of the Riemannian manifolds with respect to the semisymmetric nonmetric connection. To validate our findings, we construct a nontrivial example of a $3$-dimensional Riemannian manifold equipped with a semisymmetric nonmetric connection.
Keywords
Riemannian manifold, semisymmetric nonmetric connection, different curvature tensors, Ricci solitons
First Page
1887
Last Page
1904
Recommended Citation
CHAUBEY, SUDHAKAR K. and YILDIZ, AHMET
(2019)
"Riemannian manifolds admitting a new type of semisymmetric nonmetric connection,"
Turkish Journal of Mathematics: Vol. 43:
No.
4, Article 7.
https://doi.org/10.3906/mat-1902-2
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss4/7
