Arif Salimov2025-04-292025-04-292025-04-29doi_dedup___::6a5be4740f5afc40fb69a66d2aa124c7https://rims.khazar.org/handle/123456789/177It 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.0101 mathematics01 natural sciencestext::journal::journal article