On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Authors : Ayşe Funda Sağlamer, Nesrin Çalişkan

Pages : 112-117

Doi:10.33401/fujma.469933

View : 17 | Download : 9

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