Title of article :
(α, β)-Metrics with Killing β of Constant Length
Author/Authors :
Tabatabaeifar, Tayebeh Department of Mathematics and Computer Science - Amirkabir University of Technology, Tehran, Iran , Najafi, Behzad Department of Mathematics and Computer Science - Amirkabir University of Technology, Tehran, Iran
Abstract :
The class of (α,β)-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study (α,β)-metrics with Killing of constant length 1-form β and find a simplified formula for their Ricci curvatures. Then, we
show that if F=α+β+b rac{β^2}{α} is an Einstein Finsler metric, then α is an Einstein Riemann metric.
Keywords :
Finsler metric , (α,β)-metric , Einstein manifold
Journal title :
AUT Journal of Mathematics and Computing
