Classification of 4-dimensional homogeneous D´Atri spaces

Abstract

We give a complete classification of 4-dimensional homogeneous D'Atri spaces (i.e., Riemannian manifolds with volume-preserving geodesic symmetries). This is the final correction of the incomplete results published earlier by Bueken-Vanhecke and Podesta-Spiro

Keywords

• Classification
• 4-dimensional
• homogeneous
• D´Atri
• spaces