2024/06/27 by Aleksandar Milivojević, Milivojevic, Aleksandar · 1 citation
Engineering · Mathematics · Computer Science · #Advanced Numerical Analysis Techniques #Geometric and Algebraic Topology #Computational Geometry and Mesh Generation
paper · pdf · doi:10.48550/arxiv.2406.19539
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold itself is formal. We reprove a result of Fiorenza-Kawai-Lê-Schwachhöfer, that closed orientable manifolds with a non-negative Ricci curvature metric and sufficiently large first Betti number are formal. Our method allows us to remove the orientability hypothesis; we further address some cases of non-closed manifolds.