105 citations · 248 across the 46 of their papers we have counts for
4 papers · 1 filter
Short-time existence for the Schouten flow
Giovanni Catino, Carlo Mantegazza
Let be a closed smooth Riemannian manifold, with . We prove short--time existence and uniqueness for the "critical" {\em Ricci--Bourguignon flow} \begin{e…
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…
Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
We prove rigidity and classification results for the quasilinear Liouville equation associated with the -Laplacian on complete noncompact Riemannian manifolds with nonnegative R…
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in
Xavier Cabre, Giovanni Catino, Luciano Mari +2
We describe a method to prove new integral inequalities for stable minimal hypersurfaces in Euclidean space. As an application, we give a simple proof that complete, two sided, sta…