7 papers · 1 filter
Conformal Kähler rigidity of Einstein four-manifolds
Giovanni Catino, Davide Dameno
For a compact, connected, oriented Einstein four-manifold, we prove that, if the largest eigenvalue of the self-dual Weyl curvature is everywhere simple, then, after at worst…
Topological and rigidity results for four-dimensional hypersurfaces in space forms
Davide Dameno, Aaron J. Tyrrell
Exploiting the special features of four-dimensional Riemannian geometry, we derive topological and rigidity results for hypersurfaces immersed in space forms of dimension 5. First,…
A note on Einstein metrics and Riemannian twistor spaces
Davide Dameno
Inspired by the problem of classifying Einstein manifolds with positive scalar curvature, we prove that an Einstein four-manifold whose associated twistor space has scalar curvatur…
Bach-pinched metrics on closed manifolds
Letizia Branca, Giovanni Catino, Davide Dameno
Exploiting the deformation method introduced by Aubin in his seminal work to construct constant negative scalar curvature metrics, we show the existence, on every closed manifold o…
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…