105 citations · 248 across the 46 of their papers we have counts for
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Two rigidity results for stable minimal hypersurfaces
Giovanni Catino, Paolo Mastrolia, Alberto Roncoroni
The aim of this paper is to prove two results concerning the rigidity of complete, immersed, orientable, stable minimal hypersurfaces: we show that they are hyperplane in $\mathbb{…
Rigidity results for Riemannian twistor spaces under vanishing curvature conditions
Giovanni Catino, Davide Dameno, Paolo Mastrolia
In this paper we provide new rigidity results for four-dimensional Riemannian manifolds and their twistor spaces.In particular, using the moving frame method, we prove that $\mathb…
Some canonical metrics {\em via} Aubin's local deformations
Giovanni Catino, Davide Dameno, Paolo Mastrolia
In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compa…