学术报告

Transverse Fully Nonlinear Elliptic Equations on Sasakian Manifolds

作者:    发布时间:2019-05-23    浏览次数:
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 813Abstract: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...

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.