5 papers · 1 filter
Eigenvalue estimates via Hömander's -method
Qingchun Ji, Li Lin
Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted -technique. Lower bounds in terms of the vol…
Solvability of Dirac type equations
Qingchun Ji, Ke Zhu
This paper develops a weighted -method for the (half) Dirac equation. For Dirac bundles over closed Riemann surfaces, we give a sufficient condition for the solvability of the…
L2-estimates on p-convex Riemannian manifolds
Qingchun Ji, Xusheng Liu, Guangsheng Yu
In this paper, we establish various L2-estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As geometric application…
Division Theorems for Exact Sequences
Qingchun Ji
Under certain integrability and geometric conditions, we prove division theorems for the exact sequences of holomorphic vector bundles and improve the results in the case of Koszul…
Bernstein Type Theorems For Minimal Lagrangian Graphs of Quaternion Euclidean space
Yuxin Dong, Yingbo Han, Qingchun Ji
In this paper, we prove some Bernstein type results for -dimensional minimal Lagrangian graphs in quaternion Euclidean space . In particular, we also get a new…