activity
20152026
most citedKähler-Einstein metrics on smooth Fano symmetric varieties with Picard number one

5 citations · 13 across the 7 of their papers we have counts for

collaborators

7 papers

math.CV2026

Boundary Behavior of Bisectional Curvatures for Weighted Bergman Metrics

Sungmin Yoo

This paper investigates the asymptotic boundary behavior of the holomorphic bisectional curvature for weighted Bergman metrics. By characterizing extremal functions via -ortho…

math.AG2020★ 5 cited

Kähler-Einstein metrics on smooth Fano symmetric varieties with Picard number one

Jae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo

Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano…

math.CV2020

A certain Kähler potential of the Poincaré metric and its characterization

Young-Jun Choi, Kang-Hyurk Lee, Sungmin Yoo

We will show a rigidity of a Kähler potential of the Poincaré metric with a constant length differential.

math.CV2020

Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains

Young-Jun Choi, Sungmin Yoo

Let be the projection map onto the second factor and let be a domain in such that for , every…

math.CV2019★ 1 cited

Holomorphic family of strongly pseudoconvex domains in a Kähler manifold

Young-Jun Choi, Sungmin Yoo

Let be a surjective holomorphic mapping between Kähler manifolds. Let be a bounded smooth domain in such that every generic fiber …

math.CV2016★ 3 cited

Asymptotic boundary behavior of the Bergman curvatures of a pseudoconvex domain

Sungmin Yoo

We present a method of obtaining a lower bound estimate of the curvatures of the Bergman metric without using the regularity of the kernel function on the boundary. As an applicati…

math.CV2015★ 4 cited

A differential-geometric analysis of the Bergman representative map

Sungmin Yoo

We show that the exponential map of the Bochner connection on the restricted holomorphic tangent bundle of a complex manifold admitting the positive-definite Bergman metric coincid…