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math.DG2026
On -convex hypersurfaces in Riemannian manifolds
Giulio Colombo, Christos-Raent Onti
We prove that any closed, convex hypersurface in an -dimensional Riemannian manifold with -positive curvature operator is a rational homology sphe…
gr-qc2026
On the Geometry of Cotton Gravity
Giulio Colombo, Filippo Mastropietro, Marco Rigoli
We analyze the geometry of the field equations of Cotton gravity (for a quite general energy-momentum tensor) on a static space-time. In particular, we describe the local structure…