20 citations · 41 across the 6 of their papers we have counts for
6 papers
Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields
Qun Li, Jiangwei Xue, Chia-Fu Yu
We study a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadratic fields, by taking into co…
A Monge-Ampere Type Fully Nonlinear Equation on Hermitian Manifolds
Bo Guan, Qun Li
We study a fully nonlinear equation of complex Monge-Ampere type on Hermitian manifolds. We establish the a priori estimates for solutions of the equation up to the second order de…
The Dirichlet Problem for a Complex Monge-Ampere Type Equation on Hermitian Manifolds
Bo Guan, Qun Li
We are concerned with fully nonlinear elliptic equations on complex manifolds and search for technical tools to overcome difficulties in deriving a priori estimates which arise due…
An example of compact Kähler manifold with nonnegative quadratic bisectional curvature
Qun Li, Damin Wu, Fangyang Zheng
We construct a compact Kähler manifold of nonnegative quadratic bisectional curvature, which does not admit any Kähler metric of nonnegative orthogonal bisectional curvature. The m…
Complex Monge-Ampere equations and totally real submanifolds
Bo Guan, Qun Li
We study the Dirichlet problem for complex Monge-Ampere equations in Hermitian manifolds with general (non-pseudoconvex) boundary. Our main result extends the classical theorem of…
Complex Monge-Ampere equations on Hermitian manifolds
Bo Guan, Qun Li
We study complex Monge-Ampere equations on Hermitian manifolds, extending classical existence results of Yau and Aubin in the Kahler case, and those of Caffarelli, Kohn, Nirenberg…