Title: Transverse Fully Nonlinear Elliptic Equations on Sasakian Manifolds
Speaker: 郑涛（北京理工大学助理教授）
Time: 4:00 - 5:00 pm， 2019.06.03
Location: Center for Mathematical Sciences, Room 813
Abstract:
We first consider the transverse fully nonlinear equations on Sasakian manifolds, and prove a priori estimates for a class of transverse fully nonlinear equations on Sasakian manifolds and give some geometric applications such as the transversion Calabi-Yau theorem for transverse balanced and (strongly) Gauduchon metrics. We also explain that similar results hold on compact oriented, taut, transverse Hermitian foliated manifold of complex co-dimension $n$, and give some geometric applications such as the transverse Calabi-Yau theorems for transverse Hermitian and (strongly) Gauduchon metrics. This is a joint work with Ke Feng.