Corrigendum to “On anti-Hermitian metric connections” [C. R. Acad. Sci. Paris, Ser. I 352 (9) (2014) 731–735]

It is a remarkable fact that anti-Kähler and its twin metrics share the same Levi–Civita connection. Such torsion-free metric connection also emphasizes the importance of antiHermitian metric connections with torsion in the study of anti-Hermitian geometry. With the objective of defining new types of anti-Hermitian metric connections, in the present paper we consider classes of anti-Hermitian manifolds associated with these connections.