Open $3$-manifolds with non negative Ricci curvature in a spectral or integral sense

HAL 2026 Preprint Open access

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Authors: Gilles Carron
Cited by: 0

Abstract

We show that if a complete Riemannian $3-$manifold has $L^{\frac 32}-$ integrable Ricci curvature, satisfies a Sobolev inequality and has a non negative Ricci curvature in a spectral sense, then it is diffeomorphic to $\R^3$.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Geometry and complex manifolds

Publication details

Journal / source
HAL
Publication date
25 February 2026
Language
EN
Document type
Preprint