Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605916 | Differential Geometry and its Applications | 2014 | 16 Pages |
Abstract
This paper is concerned with the fully nonlinear equation Ï2(g)=aÏ1(g)+b. The first result is to obtain the entire solutions of the equation for conformally flat metric on Rn under some additional assumptions, which generalizes the famous result of Chang-Gursky-Yang in [3]. The second one is to classify compact locally conformally flat manifolds with nonnegative Ricci curvature and the metric g satisfying the equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Haizhong Li, Changwei Xiong,