Trans-Sasakian Manifolds with Pseudo Finsler Metric

Year 2024, Volume: 6 Issue: 1, 9 - 20, 22.07.2024

Ayşe Funda Sağlamer , Hilal Fidan

https://doi.org/10.54286/ikjm.1378951

Abstract

We introduce some properties and results for trans-Sasakian structures on indefinite Finsler manifolds in this paper. These structures are established on the 〖(M^0)〗^h and 〖(M^0)〗^v vector subbundles where M is an (2n+1) dimensional C^∞ manifold, M^0 is a non-empty open submanifold of TM. F^* is the fundamental Finsler function and〖 F〗^(2n+1)= (M,M^0,F^*) is an indefinite Finsler manifold. Furthermore, we give some formulas for α-Sasakian and β-Kenmotsu Finsler manifolds with pseudo-Finsler metric.

Keywords

Trans-Sasakian manifold, α-Sasakian manifold, β-Kenmotsu manifold, pseudo-Finsler metric

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