3 citations · 6 across the 17 of their papers we have counts for
18 papers
Propagation of Chaos on Riemannian Manifolds
Myeongju Chae, Gunhee Cho, Hyun Chul Jang +1
We extend reflection coupling for uniform-in-time propagation of chaos from Euclidean space to complete Riemannian manifolds. Intrinsic reflection along minimizing geodesics replac…
Non-Measure Hyperbolicity of Complex K3 Surfaces
Gunhee Cho, David R. Morrison
We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verified for certain cases in 1980 -- holds for all K3 surfaces. As a byproduct, we pro…
Statistical Bergman geometry
Gunhee Cho, Jihun Yum
This paper explores the Bergman geometry of bounded domains in through the lens of information geometry by introducing a mapping …
Sharp weighted CR trace Sobolev inequalities
Gunhee Cho, Zetian Yan
We establish a sharp Sobolev trace inequality on the Siegel domain involving the weighted norm-. The inequality is closely related the reali…
The Stochastic Schwarz lemma on Kähler Manifolds by Couplings and Its Applications
Myeongju Chae, Gunhee Cho, Maria Gordina +1
We first provide a stochastic formula for the Carathéodory distance in terms of general Markovian couplings and prove a comparison result between the Carathéodory distance and the…
Sub-Riemannian Geodesics on
Domenico D'Alessandro, Gunhee Cho
We explicitly describe the length minimizing geodesics for a sub-Riemannian structure of the elliptic type defined on . Our method uses a symmetry reduction whic…
Vanishing results from Lichnerowicz Laplacian on complete Kähler manifolds and applications
Gunhee Cho, Nguyen Thac Dung
In this paper, we show several rigidity results for harmonic -forms in complete Kähler manifolds. We also give several applications to study non-compact Kähler manifolds wit…
Rigidity results with curvature conditions from Lichnerowicz Laplacian and applications
Gunhee Cho, Nguyen Thac Dung, Tran Quang Huy
The Bochner technique is a classical tool in global differential geometry for proving vanishing and rigidity results by exploiting curvature conditions. Building on recent extensio…
Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound
Maria Gordina, Gunhee Cho
We define the orthogonal Bakry-Émery tensor as a generalization of the orthogonal Ricci curvature, and then study diameter theorems on Kähler and quaternionic Kähler manifolds unde…
A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds
Fabrice Baudoin, Gunhee Cho, Guang Yang
In this short note, using the Kendall-Cranston coupling, we study on Kähler (resp. quaternion Kähler) manifolds first eigenvalue estimates in terms of dimension, diameter, and lowe…
Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature
Gunhee Cho
We show the theorem which provides some sufficient condition to the non-existence of a complete Kähler--Einstein metric of negative scalar curvature whose holomorphic sectional cur…
Octonionic Brownian Windings
Gunhee Cho, Guang Yang
We define and study the windings along Brownian paths in the octonionic Euclidean, projective and hyperbolic spaces which are isometric to 8-dimensional Riemannian model spaces. In…
Bergman metric on the symmetrized bidisc and its consequences
Gunhee Cho, Yuan Yuan
On the symmetrized bidisc G2 with the Bergman metric, the holomorphic sectional curvature is negatively pinched and the holomorphic bisectional curvature is not. The consequences i…
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
Fabrice Baudoin, Gunhee Cho
In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space which is obtained by lifting with respect to the anti-de Sitter fibration the Laplaci…
The Kobayashi-Royden metric on punctured spheres
Gunhee Cho, Junqing Qian
This paper gives an explicit formula of the asymptotic expansion of the Kobayashi-Royden metric on the punctured sphere in terms of the expo…
The subelliptic heat kernel of the octonionic Hopf fibration
Fabrice Baudoin, Gunhee Cho
We study the sub-Laplacian of the -dimensional unit sphere which is obtained by lifting with respect to the Hopf fibration the Laplacian of the octonionic projective space. We…
Invariant metrics on the Complex ellipsoid
Gunhee Cho
We provide a class of geometric convex domains on which the Carathéodory-Reiffen metric, the Bergman metric, the complete Kähler-Einstein metric of negative scalar curvature are un…
Comparing the Carathéodory Pseudo-Distance and the Kähler-Einstein Distance on Complete Reinhardt Domains
Gunhee Cho
We show that on a certain class of bounded, complete Reinhardt domains in that enjoy a lot of symmetries, the Carathéodory pseudo-distance and the geodesic distance…