We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.
@article{bwmeta1.element.doi-10_2478_s11533-007-0020-6,
author = {Amine Fawaz},
title = {Harmonic conformal flows on manifolds of constant curvature},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {493-504},
zbl = {1141.53021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0020-6}
}
Amine Fawaz. Harmonic conformal flows on manifolds of constant curvature. Open Mathematics, Tome 5 (2007) pp. 493-504. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0020-6/
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