2 citations · 4 across the 5 of their papers we have counts for
10 papers
Harmonic maps between surfaces homotopic to a (branched) covering map
Inkang Kim, Xueyuan Wan
In the paper, we consider the harmonic maps between surfaces and in the homotopy class of a (branched) covering map . We prove the uniqueness of critical points of ene…
Convexity of energy function associated to the harmonic maps between surfaces
Inkang Kim, Xueyuan Wan, Genkai Zhang
For a fixed smooth map between two Riemann surfaces and with non-zero degree, we consider the energy function on Teichmüller space $\mc{T}$ of that assigns to a c…
New Kähler metric on quasifuchsian space and its curvature properties
Inkang Kim, Xueyuan Wan, Genkai Zhang
Let be the quasifuchsian space of a closed surface of genus . We construct a new mapping class group invariant Kähler metric on . It is an extension of…
Plurisuperharmonicity of reciprocal energy function on Teichmuller space and Weil-Petersson metrics
Inkang Kim, Xueyuan Wan, Genkai Zhang
We consider harmonic maps in a fixed homotopy class from Riemann surfaces of genus varying in the Teichmü{}ller space $\mathcal…
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…