Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3140
Abstract
Let $TM$ be the tangent bundle over an almost antipara-Hermitian manifold endowed with Berger-type deformed Sasaki metric $% ^{BS}g$. In this paper, we introduce the deformed Sasaki metric which Berger-type and study the metric connection of this metric on the tangent bundle. We give some curvature properties of this metric and characterization of projective vector field which preserving the fiber of $\left( TM, ^{BS}g\right) $. Next, we present some geometric results concerning them.
Keywords
Berger-type deformed Sasaki metric, projective vector field, almost antipara-Hermitian manifold
First Page
1036
Last Page
1047
Recommended Citation
BİLEN, LOKMAN
(2022)
"Metric connection on tangent bundle with Berger-type deformed Sasaki metric,"
Turkish Journal of Mathematics: Vol. 46:
No.
3, Article 25.
https://doi.org/10.55730/1300-0098.3140
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss3/25
