In this paper, we study statistical manifolds and their submanifolds. We first construct two
new examples of statistical warped product manifolds and give a method how to construct …

We prove that a closed negatively curved analytic Riemannian manifold that contains
infinitely many totally geodesic hypersurfaces is isometric to an arithmetic hyperbolic …

Hyperbolic rank rigidity for manifolds of -pinched negative curvature Page 1 Ergod. Th. & Dynam.
Sys. (2020), 40, 1194–1216 doi:10.1017/etds.2018.113 c Cambridge University Press, 2018 …

Une variété riemannienne est dite CVC (ϵ) si sa courbure sectionnelle satisfait
ponctuellement sec≤ ε ou sec≥ ε et si chaque vecteur tangent appartient à un plan tangent …

We prove two rigidity results for complete Riemannian three-manifolds of higher rank.
Complete three-manifolds have higher spherical rank if and only if they are spherical space …