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math.DG2022
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…
math.DG2022
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…
math.DG2022
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…