3 papers
math.DG2026
Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
Elahe Khalili Samani, Lawrence Mouillé
We explore existence of invariant metrics with positive intermediate Ricci curvature on closed, low-dimensional cohomogeneity one manifolds. For a certain cohomogeneity one $\maths…
math.DG2025
Positive curvature and rational ellipticity in cohomogeneity three
Elahe Khalili Samani, Marco Radeschi
We prove that a closed, simply connected, positively curved, cohomogeneity-three manifold whose quotient space has no boundary is rationally elliptic, thus providing a generalizati…
math.DG2024
Rational ellipticity of -manifolds from their quotients
Elahe Khalili Samani, Marco Radeschi
We prove that if a compact, simply connected Riemannian -manifold has orbit space isometric to some other quotient with having zero topological entropy, then…