3 papers
math.AP2026
Monge-Ampère-type equation for forms of positive degree and Demailly's transcendental Morse inequality
Mathew George
The Monge-Ampère-type equation for forms of positive degree was introduced by Dinew and Popovici to prove the qualitative part of an analytic version of Demailly's transcendental M…
math.AP2021
Convergence of a class of fully non-linear parabolic equations on Hermitian manifolds
Mathew George
We consider a class of fully non-linear parabolic equations on compact Hermitian manifolds involving symmetric functions of partial Laplacians. Under fairly general assumptions, we…
math.AP2021
Fully nonlinear elliptic equations on Hermitian manifolds for symmetric functions of partial Laplacians
Mathew George, Bo Guan, Chunhui Qiu
We consider a class of fully nonlinear second order elliptic equations on Hermitian manifolds closely related to the general notion of $\bfG$-plurisubharmonicity of Harvey-Lawson a…