2 papers
math.DG2023
The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds
Shuang Liang, Xi Sisi Shen, Kevin Smith
We prove local Calabi and higher order estimates for solutions to the continuity equation introduced by La Nave-Tian and extended to Hermitian metrics by Sherman-Weinkove. We apply…
math.AP2022
On uniform estimates for form fully nonlinear partial differential equations on compact Hermitian manifolds
Nikita Klemyatin, Shuang Liang, Chuwen Wang
We obtain a priori estimate for a general class of form fully nonlinear partial differential equations on compact Hermitian manifolds. Our method relies on the l…