5 papers · 1 filter
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…
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…
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…
On the topology of leaves of singular Riemannian foliations
Marco Radeschi, Elahe Khalili Samani
In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation $(M,\fol)$. If is simply connected, we prove that the…
Obstructions to free actions on Bazaikin spaces
Elahe Khalili Samani
Apart from spheres and an infinite family of manifolds in dimension seven, Bazaikin spaces are the only known examples of simply connected Riemannian manifolds with positive sectio…