76 citations · 130 across the 7 of their papers we have counts for
8 papers
Classification of quadratically pinched translators in higher codimension
Debora Impera, Michele Rimoldi, Francesco Ruatta
We study complete translating solitons for the mean curvature flow in arbitrary codimension under quadratic pinching of the second fundamental form. We prove a codimension reductio…
Classification of quadratically pinched self-shrinkers in higher codimension
Debora Impera, Michele Rimoldi, Francesco Ruatta
We classify properly immersed self-shrinkers of the mean curvature flow in arbitrary codimension under a quadratic pinching condition of Andrews-Baker type on the second fundamenta…
The Frankel property for self-shrinkers from the viewpoint of elliptic PDE's
Debora Impera, Stefano Pigola, Michele Rimoldi
We show that two properly embedded self-shrinkers in Euclidean space that are sufficiently separated at infinity must intersect at a finite point. The proof is based on a localized…
Complete self-shrinkers confined into some regions of the space
Stefano Pigola, Michele Rimoldi
We study geometric properties of complete non-compact bounded self-shrinkers and obtain natural restrictions that force these hypersurfaces to be compact. Furthermore, we observe t…
On a classification theorem for self-shrinkers
Michele Rimoldi
We generalize a classification result for self-shrinkers of the mean curvature flow with nonnegative mean curvature, which was obtained by T. Colding and W. Minicozzi, replacing th…
Ricci almost solitons
Stefano Pigola, Marco Rigoli, Michele Rimoldi +1
We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimat…
Remarks on non-compact gradient Ricci solitons
Stefano Pigola, Michele Rimoldi, Alberto G. Setti
In this paper we show how techniques coming from stochastic analysis, such as stochastic completeness (in the form of the weak maximum principle at infinity), parabolicity and $L^p…
Characterizations of model manifolds by means of certain differential systems
Stefano Pigola, Michele Rimoldi
We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of space-for…