| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615181 | Journal of Mathematical Analysis and Applications | 2015 | 5 Pages |
Abstract
The aim of this note is to investigate the critical points of the total scalar curvature functional restricted to the space of metrics with constant scalar curvature of unitary volume, for simplicity CPE metrics. In this note, we give a necessary and sufficient condition on the norm of the gradient of the potential function for a CPE metric to be Einstein.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Benedito Leandro Neto,