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).
Rosay,Sur une caract´ erisation de la boule parmi les domaines deCn par son groupe d’automorphismes, Ann
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Quantitative strong localization of the Kobayashi-Eisenman volume element near plurisubharmonic peak points, yielding non-tangential asymptotic limits at exponentially flat infinite-type boundary points.
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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).
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Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics
Quantitative strong localization of the Kobayashi-Eisenman volume element near plurisubharmonic peak points, yielding non-tangential asymptotic limits at exponentially flat infinite-type boundary points.