Journal of Generalized Lie Theory and Applications

On the Existence of a Riemannian Manifolds at a Given Connection

Abstract

Manelo Anona* and Ratovoarimanana Hasina

We give necessary and sufficient conditions for a linear connection without torsion to come from a Riemannian metric. The nullity space and the image space of the curvature are involved in the formulation of the results.

Mathematics Subject Classification (2010) 53XX, 53C08, 53B05.