Gunhee Cho

activity

20182022

collaborators

6 papers

math.DG2022

Sub-Riemannian Geodesics on $S L (2, R)$

Domenico D'Alessandro, Gunhee Cho

We explicitly describe the length minimizing geodesics for a sub-Riemannian structure of the elliptic type defined on $S L (2, R)$ . Our method uses a symmetry reduction whic…

math.DG2021

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…

math.DG2020

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…

math.DG2019

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 $CP^{1} \ {0, 1, \infty}$ in terms of the expo…

math.DG2019

The subelliptic heat kernel of the octonionic Hopf fibration

Fabrice Baudoin, Gunhee Cho

We study the sub-Laplacian of the $15$ -dimensional unit sphere which is obtained by lifting with respect to the Hopf fibration the Laplacian of the octonionic projective space. We…

math.MG2018

Invariant metrics on the Complex ellipsoid