The normalized $L^2$-norm of the traceless part of the Ricci
curvature defines a Riemannian functional on the space of metrics.
In this paper, we will consider this functional on 3-manifolds.
@article{1148392730,
author = {Katagiri, Minyo},
title = {On critical Riemannian metrics for a curvature functional on 3-manifolds},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {78},
number = {10},
year = {2002},
pages = { 43-45},
language = {en},
url = {http://dml.mathdoc.fr/item/1148392730}
}
Katagiri, Minyo. On critical Riemannian metrics for a curvature functional on 3-manifolds. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp. 43-45. http://gdmltest.u-ga.fr/item/1148392730/