18 citations · 72 across the 32 of their papers we have counts for
5 papers · 1 filter
The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle
Xueyuan Wan, Genkai Zhang
Let be a holomorphic fibration with compact fibers and a relatively ample line bundle over . We obtain the asymptotic of the curvature of $L^2…
Compact Kähler manifolds with positive orthogonal bisectional curvature
Huitao Feng, Kefeng Liu, Xueyuan Wan
In this short note, using Siu-Yau's method [14], we give a new proof that any n-dimensional compact Kahler manifold with positive orthogonal bisectional curvature must be biholomo…
Holomorphic sectional curvature of complex Finsler manifolds
Xueyuan Wan
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian man…
Geodesic-Einstein metrics and nonlinear stabilities
Huitao Feng, Kefeng Liu, Xueyuan Wan
In this paper, we introduce notions of nonlinear stabilities for a relative ample line bundle over a holomorphic fibration and define the notion of a geodesic-Einstein metric on th…
Geometry of logarithmic forms and deformations of complex structures
Kefeng Liu, Sheng Rao, Xueyuan Wan
We present a new method to solve certain -equations for logarithmic differential forms by using harmonic integral theory for currents on Kahler manifolds. The resul…