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math.DG2022
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…
math.DG2022
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…