List's flow; eigenvalue; scalar curvature
In this paper, we consider some
evolution equations of generalized
Ricci curvature and generalized scalar
curvature under the List's flow.
As applications, we obtain $L^2$-estimates
for generalized scalar curvature and
the first variational formulae for
non-negative eigenvalues with respect
to the Laplacian.
 Li Y.: Eigenvalues and entropys under the harmonic-Ricci flow. arXiv:1011.1697, to appear in Pacific J. Math.
 Lott J., Sesum N.: Ricci flow on three-dimensional manifolds with symmetry. arXiv:1102.4384, to appear in Comm. Math. Helv.
 Müller R.: Ricci flow coupled with harmonic map flow
. Ann. Sci. Éc. Norm. Supér. 45 (2012), 101–142. MR 2961788
| Zbl 1247.53082