17 citations · 18 across the 5 of their papers we have counts for
4 papers · 1 filter
On the Boundary Injectivity Radius of Buser-Colbois-Dodziuk-Margulis Tubes
Luca F. Di Cerbo
We give a lower bound on the boundary injectivity radius of the Margulis tubes with smooth boundary constructed by Buser, Colbois, and Dodziuk. This estimate depends on the dimensi…
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…
A Ricci nilsoliton is nongradient
Luca Fabrizio Di Cerbo
In this brief note, we clarify that a Ricci nilsoliton cannot be of gradient type.
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…