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

Gilles Carron

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arXiv · 2603.01887

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

Gilles Carron

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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 $\R^3$.

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Gilles Carron. 2026-03-02. Open $3$-manifolds with non negative Ricci curvature in a spectral or integral sense. https://arxiv.org/abs/2603.01887

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