48 citations · 178 across the 30 of their papers we have counts for
5 papers · 1 filter
Fully non-linear degenerate elliptic equations in complex geometry
Jianchun Chu, Nicholas McCleerey
We derive an a priori real Hessian estimate for solutions of a large family of geometric fully non-linear elliptic equations on compact Hermitian manifolds, which is independent of…
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…
Curvature estimates for a class of Hessian type equations
Jianchun Chu, Heming Jiao
In this paper, we establish the curvature estimates for a class of Hessian type equations. Some applications are also discussed.
A simple proof of curvature estimate for convex solution of -Hessian equation
Jianchun Chu
Guan-Ren-Wang established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation . In this note, we give a simple proof…
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…