Mathematica Eterna
Open Access

Abstract

Projective change for a new class of (α, β)-metrics

Laurian-Ioan Pi¸scoran and Lakshmi Narayan Mishra

In this paper we will investigate the projective change between recently introduced (α, β)-metric F = β + aα2+β 2 α and the (α, β)-metric F = α + β, where α and α are two Riemannian metrics; β and β are 1-forms and a ∈ (0, 1] is a real positive scalar. Also, we will investigate the locally projectively flatness for the (α, β)-metric F.