Article ID Journal Published Year Pages File Type
4605916 Differential Geometry and its Applications 2014 16 Pages PDF
Abstract
This paper is concerned with the fully nonlinear equation σ2(g)=aσ1(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
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