On Kähler manifolds with non-negative mixed curvature

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A splitting theorem for complete Kähler manifolds is demonstrated, revealing structural insights into their geometry.
The analysis shows that the Hodge numbers of Kähler manifolds with quasi-positive mixed curvature vanish, indicating unique characteristics.
Employing the conformal perturbation method, the results enhance our understanding of Kähler manifolds' geometric properties.
This work indicates a rich interplay between Ricci and holomorphic sectional curvature in understanding complex geometries.

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Analysis uncovers structure theorems for Kähler manifolds with non-negative curvature, suggesting deep geometric properties.

Chu et al. (2025) studied this question.

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