On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Authors : Ayşe Funda SAĞLAMER, Nesrin ÇALIŞKAN

Pages : 112-117

Doi:10.33401/fujma.469933

View : 18 | Download : 6

Publication Date : 2018-12-25

Article Type : Research Paper

Abstract :We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=insert ignore into journalissuearticles values(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F});$ and semi-invariant submanifold $F^{m}=insert ignore into journalissuearticles values(\mathcal{N}, \mathcal {N^{\prime }}, F);$ 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