-boundedness of oscillating spectral multipliers on Riemannian manifolds
We prove endpoint estimates for operators given by oscillating spectral multipliers on Riemannian manifolds with -bounded geometry and nonnegative Ricci curvature.
pinching and compactness theorems for compact riemannian manifolds
Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein.
L'inégalité de Penrose
Liouville theorem for harmonic maps with potential.
Liouville type theorems for φ-subharmonic functions.
In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.