- Fundamental Journal of Mathematics and Applications
- Vol: 1 Issue: 2
- On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds
On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds
Authors : Ayşe Funda Sağlamer, Nesrin Çalişkan
Pages : 112-117
Doi:10.33401/fujma.469933
View : 13 | Download : 6
Publication Date : 2018-12-25
Article Type : Research
Abstract :We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F})$ and semi-invariant submanifold $F^{m}=(\mathcal{N}, \mathcal {N^{\prime }}, F)$ of a trans-Sasakian Finsler manifold $\bar{F}^{2n+1}$. Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.Keywords : Trans-Sasakian Finsler manifold, Semi-invariant submanifold, Totally geodesic, Totally umbilical