18 citations · 72 across the 32 of their papers we have counts for
4 papers · 1 filter
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…
Curvature of the base manifold of a Monge-Ampère fibration and its existence
Xueyuan Wan, Xu Wang
In this paper, we consider a special relative Kähler fibration that satisfies a homogenous Monge-Ampère equation, which is called a Monge-Ampère fibration. There exist two canonica…
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…