- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- Notes about Anti-paraHermitian Metric Connections
Notes about Anti-paraHermitian Metric Connections
Authors : Abderrahım ZAGANE
Pages : 54-62
Doi:10.47000/tjmcs.1176117
View : 15 | Download : 26
Publication Date : 2023-06-30
Article Type : Research Article
Abstract :In the present paper firstly, we introduce classes of anti-paraK\\\"{a}hler-Codazzi manifolds and we discuss the problem of integrability for almost paracomplex structures on these manifolds. Secondly, we introduce new classes of anti-paraHermitian manifolds associated with these anti-paraHermitian metric connections with torsion, we look for the conditions in which they become anti-paraK\\\"{a}hler manifolds or anti-paraK\\\"{a}hler-Codazzi manifolds.Keywords : Anti-paraHermitian, twin anti-paraHermitian metric, anti-paraK\\\"{a}hler-Codazzi manifold, anti-paraHermitian metric connections