Inkang Kim

activity

19952026

most citedBetti numbers of Gaussian fields

62 citations · 147 across the 47 of their papers we have counts for

collaborators

Showing 2019 · math.DGShow all

3 papers · 2 filters

math.DG2019★ 1 cited

Convexity of energy function associated to the harmonic maps between surfaces

Inkang Kim, Xueyuan Wan, Genkai Zhang

For a fixed smooth map $u_{0}$ between two Riemann surfaces $Σ$ and $S$ with non-zero degree, we consider the energy function on Teichmüller space $\mc{T}$ of $Σ$ that assigns to a c…

math.DG2019

Systole on locally symmetric spaces

Inkang Kim

Here we survey on the growth of systoles of arithmetic locally symmetric spaces under the congruence covering and give simple proofs for the best possible constants of Gromov for s…

math.DG2019★ 2 cited

Plurisuperharmonicity of reciprocal energy function on Teichmuller space and Weil-Petersson metrics

Inkang Kim, Xueyuan Wan, Genkai Zhang

We consider harmonic maps $u (z) : X_{z} \to N$ in a fixed homotopy class from Riemann surfaces $X_{z}$ of genus $g \geq 2$ varying in the Teichmü{}ller space $\mathcal…