Conformal H-vector-change In Finsler Spaces

Abstract

We investigate what we call a conformal ℎ-vector-change in Finsler spaces, namelywhere, is a function of only, and (, ): = (, ) , where ≔ (, ) is an ℎ-vector.This change generalizes various types of changes: conformal changes, generalized Randers changes, Randers change.Under this change, we obtain the relationships between some tensors associated with (, ) and the corresponding tensors associated with(, ̅ ).Next, we express the conditions for more generalized -th root metrics ̃1 = √ 1 2 1 + 1 + 1 and ̃2 = √ 2 2 2 + 2 + 2 , when is established conformal ℎ-vector-change and 1 , 2 are even numbers and other case 1 , 2 even and odd numbers, respectively.Finally, we prove that under these conditions conformal ℎ-vector-change in Finsler spaces reduces to conformal -change in Finsler spaces.