18 citations · 72 across the 32 of their papers we have counts for
5 papers · 1 filter
Transverse rational curves and the LeBrun--Salamon conjecture
Zhengyu Hu, Kefeng Liu, Xueyuan Wan
We prove that every compact connected positive quaternionic--Kähler manifold of real dimension with is isometric to a Wolf space after rescaling the metric by a positi…
Positivity of the canonical bundle and Hermitian metrics with quasi-negative holomorphic sectional curvature
Xueyuan Wan
We prove that if a compact Kähler manifold admits a Hermitian metric with quasi-negative holomorphic sectional curvature for the Chern connection, then its canonical bundle is ampl…
Stable ample vector bundles without semipositive Kobayashi curvature
Kefeng Liu, Xueyuan Wan
We construct slope-stable ample rank-two vector bundles on every Hirzebruch surface that admit no smooth strongly pseudoconvex Finsler metric with semipositive Kobay…
Quasi-convexity of energy functions along Teichmüller geodesics
Inkang Kim, Xueyuan Wan, Genkai Zhang
Hyperbolic length functions are among the most fundamental ones on Teichmüller space, and they are quasi-convex along Teichmüller geodesics. In this paper, we investigate the same…
Positivity of the third Chern form for Griffiths positive vector bundles
Xueyuan Wan
In this paper, we prove the positivity of the double mixed discriminant associated with a positive linear map between spaces of third-order complex matrices, thereby settling the t…