On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Year 2018, Volume: 1 Issue: 2, 112 - 117, 25.12.2018

Ayşe Funda Sağlamer Nesrin Çalışkan

https://doi.org/10.33401/fujma.469933

Cited By: 1

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

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