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Article Dans Une Revue Annales de l'Institut Fourier Année : 2020

Geometric inequalities for manifolds with Ricci curvature in the Kato class

Gilles Carron

Résumé

We obtain an Euclidean volume growth results for complete Riemannian manifolds satisfying a Euclidean Sobolev inequality and a spectral type condition on the Ricci curvature. We also obtain eigenvalue estimates, heat kernel estimates, Betti number estimates for closed manifolds whose Ricci curvature is controlled in the Kato class.

Dates et versions

hal-01441891 , version 1 (20-01-2017)

Identifiants

Citer

Gilles Carron. Geometric inequalities for manifolds with Ricci curvature in the Kato class. Annales de l'Institut Fourier, 2020, 69 (7), pp.3095--3167. ⟨10.5802/aif.3346⟩. ⟨hal-01441891⟩
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