9 citations · 14 across the 9 of their papers we have counts for
21 papers
Singular positive mass theorem with arbitrary ends
Jianchun Chu, Man-Chun Lee, Jintian Zhu
Motivated by the recent progress on positive mass theorem for asymptotically flat manifolds with arbitrary ends and the Gromov's definition of scalar curvature lower bound for cont…
Ricci-Deturck flow from rough metrics and applications
Jianchun Chu, Man-Chun Lee
Motivated by the recent work of Lamm and Simon, in this work we study the short-time existence theory of Ricci-Deturck flow starting from rough metrics which are bi-Lipschitz and h…
Monotonicity of the -Green functions
Pak-Yeung Chan, Jianchun Chu, Man-Chun Lee +1
On a complete -nonparabolic -dimensional manifold with non-negative scalar curvature and vanishing second homology, we establish a sharp monotonicity formula for the proper $…
Hypercritical deformed Hermitian-Yang-Mills equation
Jianchun Chu, Man-Chun Lee
In this work, we study the deformed Hermitian-Yang-Mills equation on compact Kähler manifold. We introduce the notions of coerciveness and properness of the -functiona…
Singular metrics with negative scalar curvature
Man-Chuen Cheng, Man-Chun Lee, Luen-Fai Tam
Motivated by the work of Li and Mantoulidis, we study singular metrics which are uniformly Euclidean on a compact manifold () with negative Yamabe invari…
A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation
Jianchun Chu, Man-Chun Lee, Ryosuke Takahashi
The deformed Hermitian-Yang-Mills equation is a complex Hessian equation on compact Kähler manifolds that corresponds to the special Lagrangian equation in the context of the Strom…