17 citations · 18 across the 5 of their papers we have counts for
5 papers
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…
Moving Seshadri Constants, and Coverings of Varieties of Maximal Albanese Dimension
Luca F. Di Cerbo, Luigi Lombardi
Let be a smooth projective complex variety of maximal Albanese dimension, and let be a big line bundle. We prove that the moving Seshadri constants of the pull-backs…
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…