2023/12/13 by Elahe Khalili Samani, Marco Radeschi, Samani, Elahe Khalili +1 · 1 citation
Mathematics · #53C21 (Primary) 53C12 (Secondary) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2312.08202
openalex publication_date 2023/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that if a compact, simply connected Riemannian G-manifold M has orbit space M/G isometric to some other quotient N/H with N having zero topological entropy, then M is rationally elliptic. This result, which generalizes most conditions on rational ellipticity, is a particular case of a more general result involving manifold submetries.