Notes about Anti-paraHermitian Metric Connections

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:1
Notes about Anti-paraHermitian Metric Connections

Notes about Anti-paraHermitian Metric Connections

Pages : 54-62

View : 49 | Download : 33

Publication Date : 2023-06-30

Article Type : Research Paper

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

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