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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.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
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 …