Recurrent equiaffine projective Euclidean spaces

Abstract

In this paper, we study n-dimensional recurrent equiaffine projective Euclidean manifolds, i.e. manifolds with absolute recurrent curvature tensor, which admit geodesic mappings onto Euclidean space, and they are equiaffine (for which the Ricci tensor is symmetric). We obtained main conditions of recurrent
equiaffine projective Euclidean spaces and constructed their examples.