On tangent bundles of Walker four-manifolds

İngilizce (OpenAlex)

Abstract The aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts J C {J}^{C} of the proper almost complex structure and identify the conditions for the isotropic Kähler-Norden property of the structure J C {J}^{C} on ( T ( M 4 ) , J C , g C ) \left(T\left({M}_{4}),{J}^{C},{g}^{C}) . Finally, we investigate the holomorphic conditions of the Norden (Kähler-Norden) metrics g C {g}^{C} and discuss Quasi-Kähler-Norden metrics g C {g}^{C} on the tangent bundle ( T ( M 4 ) , φ C , g C ) \left(T\left({M}_{4}),{\varphi }^{C},{g}^{C}) of Walker four-manifolds.