International Electronic Journal of Geometry

Özet

Recently, in paper [14], we have introduced the following deformed (α, β)-metric: F (α, β) = β 2 + α 2 (a + 1) α +β where α = p aijy iy j is a Riemannian metric; β = biy i is a 1-form, | | < 2 √ a + 1 is a real parameter and a ∈ 1 4 , +∞ is a real positive scalar. The aim of this paper is to find the nonholonomic frame for this important kind of (α, β)-metric and also to investigate the Frobenius norm for the Hessian generated by this kind of metri