24 citations · 41 across the 5 of their papers we have counts for
6 papers
Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth
Debora Impera, Michele Rimoldi, Giona Veronelli
We develop an ABP approach to Sobolev and Michael-Simon type inequalities under volume noncollapsing assumptions. The main new observation is a refinement of Brendle's contact-set…
The Cotton tensor and the Ricci flow
Carlo Mantegazza, Samuele Mongodi, Michele Rimoldi
We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we d…
Some geometric analysis on generic Ricci solitons
Paolo Mastrolia, Marco Rigoli, Michele Rimoldi
We study the geometry of complete generic Ricci solitons with the aid of some geometric-analytical tools extending techniques of the usual Riemannian setting.
Some triviality results for quasi-Einstein manifolds and Einstein warped products
Paolo Mastrolia, Michele Rimoldi
In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature.…
Locally conformally flat quasi-Einstein manifolds
Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri +1
In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension is locally a warped product with -dimensional fibers of cons…
A remark on Einstein warped products
Michele Rimoldi
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Eins…