5 citations · 14 across the 13 of their papers we have counts for
9 papers · 1 filter
Complex Finsler vector bundles with positive Kobayashi curvature
Huitao Feng, Kefeng Liu, Xueyuan Wan
In this short note, we prove that a complex Finsler vector bundle with positive Kobayashi curvature must be ample, which partially solves a problem of S. Kobayashi posed in 1975. A…
Plurisubharmonicity and geodesic convexity of energy function on Teichmüller space
Inkang Kim, Xueyuan Wan, Genkai Zhang
Let $π:\mc{X}\to \mc{T}$ be Teichmüller curve over Teichmüller space $\mc{T}$, such that the fiber $\mc{X}_z=π^{-1}(z)$ is exactly the Riemann surface given by the complex structur…
Remarks on the geodesic-Einstein metrics of a relative ample line bundle (with an appendix by Xu Wang)
Xueyuan Wan
In this paper, we introduce the associated geodesic-Einstein flow for a relatively ample line bundle over the total space of a holomorphic fibration and obtain a…
Logarithmic vanishing theorems for effective -ample divisors
Kefeng Liu, Xueyuan Wan, Xiaokui Yang
Let be a compact Kähler manifold and be a simple normal crossing divisor. If is the support of some effective -ample divisor, we show $$ H^q(X,Ω^p_X(\log D))=0,\quad…
A logarithmic -equation on a compact Kähler manifold associated to a smooth divisor
Xueyuan Wan
In this paper, we solve a logarithmic -equation on a compact Kähler manifold associated to a smooth divisor by using the cyclic covering trick. As applications, we…
The asymptotics of the -curvature and the second variation of analytic torsion on Teichmüller space
Xueyuan Wan, Genkai Zhang
We consider the relative canonical line bundle and a relatively ample line bundle over the total space of…