105 citations · 248 across the 46 of their papers we have counts for
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Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni +1
In this paper we study positive solutions to the CR Yamabe equation in noncompact -dimensional Sasakian manifolds with nonnegative curvature. In particular, we show that th…
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Giovanni Catino, Luciano Mari, Paolo Mastrolia +1
In this paper we prove general criticality criteria for operators on manifolds with more than one end, where bounds the Ricci curvature, and a related spectral splitting…
Rigidity of Einstein manifolds with positive Yamabe invariant
Letizia Branca, Giovanni Catino, Davide Dameno +1
We provide optimal pinching results on closed Einstein manifolds with positive Yamabe invariant in any dimension, extending the optimal bound for the scalar curvature due to Gursky…