Concurrent vector fields on Finsler spaces

Subject Areas : Statistics

S.M. Zamanzadeh ¹ , B. Najafi ² , M. Toomanian ³

1 - Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj. Iran
2 - Department of Mathematics and Computer Sciences Amirkabir University, Tehran. Iran
3 - Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj. Iran

Received: 2019-02-04 Accepted : 2019-04-24 Published : 2019-11-01

Keywords: متر لاندزبرگ, میدان های برداری متقارب, انحنای بروالد ایزو تروپیک,

Abstract :

In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.

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