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arXiv · 2610.39012

The cross quadratic bisectional curvature of Kähler $C$-spaces of classical type

Run-Qiang Jian·Zhuhong Zhang
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Abstract

In this paper, we show that any Kähler $C$-space of classical type has nonnegative cross quadratic bisectional curvature and positive dual cross quadratic bisectional curvature. As a consequence, such manifolds are Fano. This confirms a substantial part of a conjecture of Ni-Zheng (Conjecture 1.5 in \cite{NZ}).

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Run-Qiang Jian, Zhuhong Zhang. 2026-10-28. The cross quadratic bisectional curvature of Kähler $C$-spaces of classical type. https://arxiv.org/abs/2610.39012

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