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math.DG2022
Tachibana-type theorems on complete manifolds
Giulio Colombo, Marco Mariani, Marco Rigoli
We prove that a compact Riemannian manifold of dimension with harmonic curvature and -positive curvature operator has constant sectional cur…
math.DG2022★ 5 cited
Einstein-type structures, Besse's conjecture and a uniqueness result for a -CPE metric in its conformal class
Giulio Colombo, Luciano Mari, Marco Rigoli
In this paper, we study an extension of the CPE conjecture to manifolds which support a structure relating curvature to the geometry of a smooth map . The resulting…