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math.DG2009★ 8 cited
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…
math.DG2009
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…