12 citations · 62 across the 33 of their papers we have counts for
6 papers · 1 filter
convergence and -regularity theorems for entropy and scalar curvature lower bounds
Man-Chun Lee, Aaron Naber, Robin Neumayer
Consider a sequence of Riemannian manifolds with scalar curvatures and entropies bounded below by small constants . The goal of this paper is to und…
Kähler manifolds and mixed curvature
Jianchun Chu, Man-Chun Lee, Luen-Fai Tam
In this work we consider compact Kähler manifolds with non-positive mixed curvature which is a "convex combination" of Ricci curvature and holomorphic sectional curvature. We show…
Deformation of Hermitian metrics
Man-Chun Lee, Ka-Fai Li
In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove…
Some local Maximum principles along Ricci Flow
Man-Chun Lee, Luen-Fai Tam
In this note, we establish a local maximum principle along Ricci flow under scaling invariant curvature condition. This unifies the known preservation of nonnegativity results alon…
The space of almost calibrated forms on a compact Kähler manifold
Jianchun Chu, Tristan C. Collins, Man-Chun Lee
The space of "almost calibrated" forms on a compact Kähler manifold plays an important role in the study of the deformed Hermitian-Yang-Mills equation of mirr…
Higher-Order Estimates of Long-Time Solutions to the Kähler-Ricci Flow
Frederick Tsz-Ho Fong, Man-Chun Lee
In this article, we study the higher-order regularity of the Kähler-Ricci flow on compact Kähler manifolds with semi-ample canonical line bundle. We proved, using a parabolic analo…