8 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…