Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898660 | Journal of Differential Equations | 2018 | 18 Pages |
Abstract
On a manifold (Rn,e2u|dx|2), we say u is normal if the Q-curvature equation that u satisfies (âÎ)n2u=Qgenu can be written as the integral form u(x)=1cnâ«Rnlogâ¡|y||xây|Qg(y)enu(y)dy+C. In this paper, we show that the integrability assumption on the negative part of the scalar curvature implies the metric is normal. As an application, we prove a bi-Lipschitz equivalence theorem for conformally flat metrics.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shengwen Wang, Yi Wang,