In this paper, we investigate the conditions under which a lifted almost complex structure on the tangent bundle of a manifold exhibits various Kählerian properties. We establish several characterizations relating the geometry of to the cosymplectic structure on . Specifically, we show that is Kählerian if and only if is cosymplectic and . Similarly, we prove that is nearly Kählerian under the same conditions on . Furthermore, we present an alternative criterion for to be Kählerian, involving a nearly cosymplectic condition on alongside a specific curvature relation. Finally, we demonstrate that is semi-Kählerian if and only if is semi-cosymplectic with . These results reveal intricate connections between cosymplectic structures on and Kählerian-type structures on , contributing to the broader understanding of almost complex geometry on tangent bundles.
Sadighi, A. and Zamanzadeh, S. M. (2024). Almost complex structure over almost contact metric structures. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2024.23677.1285
MLA
Sadighi, A. , and Zamanzadeh, S. M. . "Almost complex structure over almost contact metric structures", AUT Journal of Mathematics and Computing, , , 2024, -. doi: 10.22060/ajmc.2024.23677.1285
HARVARD
Sadighi, A., Zamanzadeh, S. M. (2024). 'Almost complex structure over almost contact metric structures', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2024.23677.1285
CHICAGO
A. Sadighi and S. M. Zamanzadeh, "Almost complex structure over almost contact metric structures," AUT Journal of Mathematics and Computing, (2024): -, doi: 10.22060/ajmc.2024.23677.1285
VANCOUVER
Sadighi, A., Zamanzadeh, S. M. Almost complex structure over almost contact metric structures. AUT Journal of Mathematics and Computing, 2024; (): -. doi: 10.22060/ajmc.2024.23677.1285