17 citations · 18 across the 3 of their papers we have counts for
3 papers
math.DG2008★ 1 cited
A gap property for the growth of closed 3-manifold groups
Luca Fabrizio Di Cerbo
We provide a lower bound for the uniform exponential growth rate of closed nonflat nonpositively curved 3-manifold groups. A detailed study of the uniform exponential growth rate o…
math.DG2007
A Ricci nilsoliton is nongradient
Luca Fabrizio Di Cerbo
In this brief note, we clarify that a Ricci nilsoliton cannot be of gradient type.
math.DG2007★ 17 cited
Eigenvalues of the Laplacian under the Ricci Flow
Luca Fabrizio Di Cerbo
We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications…