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Full nonlinear elliptic equations for conformal deformation of Chern-Ricci curvatures

2018-04-25 08:26    
主题:
Full nonlinear elliptic equations for conformal deformation of Chern-Ricci curvatures
时间:
2018-04-26 16:00-17:00
地点:
南开大学省身楼216教
主讲人:
关波

主讲人简介

厦门大学教授

演讲内容介绍

There are several ways to define Chern-Ricci curvatures for the Chern connection on a non-Kahler Hermftfan manifold. We introduce a notion of mixed-Chern-Ricci forms, which naturally occur in geometric problems and seem interesting to study, and consider fully nonlinear elliptic equations for their conformal deformation. We establish a priori estimates and prove existence results for these equations under very general structure conditions. Our work is motivated by the close connections of these equations to problems in non-Kahler complex geometry, and the fact that there have been increasing interests in fully nonlinear pde's beyond the complex Monge-Ampere equation from complex geometry.
 

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