25 citations · 48 across the 36 of their papers we have counts for
4 papers · 2 filters
A variational characterization of flat spaces in dimension three
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli
In this short note we prove that, in dimension three, flat metrics are the only complete metrics with non-negative scalar curvature which are critical for the -curvature fun…
Conformal Ricci Solitons and related Integrability Conditions
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli +1
In this paper we introduce, in the Riemannian setting, the notion of conformal Ricci soliton, which includes as particular cases Einstein manifolds, conformal Einstein manifolds an…
Analytic and geometric properties of generic Ricci solitons
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli +1
The aim of this paper is to prove some classification results for generic shrinking Ricci solitons. In particular, we show that every three dimensional generic shrinking Ricci soli…
On the geometry of gradient Einstein-type manifolds
Giovanni Catino, Paolo Mastrolia, Dario Monticelli +1
In this paper we introduce the notion of Einstein-type structure on a Riemannian manifold $\varrg$, unifying various particular cases recently studied in the literature, such as gr…