5 papers · 1 filter
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…
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…
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…