Notes about Anti-paraHermitian Metric Connections

Year 2023, Volume: 15 Issue: 1, 54 - 62, 30.06.2023

Abderrahım Zagane

https://doi.org/10.47000/tjmcs.1176117

https://izlik.org/JA95LN77DC

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

Thanks

Dear Editor-in-Chief, I hope you are well. Please accept the submission of our article " Notes about an anti-paraHermitian metric connections". We would be very happy, if our manuscript meets the Journal of Publishing standards " Turkish Journal of Mathematics and Computer Science". We thank you in advance, Dr. Abderrahim ZAGANE

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