Constructs complete Kähler metrics with negative bisectional curvature on hyperbolic complex manifolds resolving Mok's problem and projective surfaces with negative HSC realizing any rational Chern slope in (2/7, 2/3).
arXiv preprint arXiv:2505.15780 , archivePrefix=
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Curvature of hyperbolic complex manifolds
Constructs complete Kähler metrics with negative bisectional curvature on hyperbolic complex manifolds resolving Mok's problem and projective surfaces with negative HSC realizing any rational Chern slope in (2/7, 2/3).