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math.DG2021★ 1 cited
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…
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.PR2021
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…