Trans-Sasakian Manifolds with Pseudo Finsler Metric

Authors : Ayşe Funda Sağlamer, Hilal Fidan

Pages : 9-20

Doi:10.54286/ikjm.1378951

View : 94 | Download : 65

Publication Date : 2024-07-22

Article Type : Research Paper

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