Inkang Kim

activity

19952026

most citedBetti numbers of Gaussian fields

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

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11 papers · 1 filter

math.DG2022

Curvature of the total space of a Griffiths negative vector bundle and quasi-Fuchsian space

Inkang Kim, Xueyuan Wan, Genkai Zhang

For a holomorphic vector bundle $E$ over a Hermitian manifold $M$ there are two important notions of curvature positivity, the Griffiths positivity and Nakano positivity. We study…

math.DG2021

Scalar curvature, mean curvature and harmonic maps to the circle

Xiaoxiang Chai, Inkang Kim

We study harmonic maps from a 3-manifold with boundary to $S^{1}$ and prove a special case of dihedral rigidity of three dimensional cubes whose dihedral angles are $π /2$ .…

math.DG2020

Harmonic maps between surfaces homotopic to a (branched) covering map

Inkang Kim, Xueyuan Wan

In the paper, we consider the harmonic maps between surfaces $Σ$ and $S$ in the homotopy class of a (branched) covering map $u_{0}$ . We prove the uniqueness of critical points of ene…

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…