Linear Bounds for the Lengths of Geodesics on Manifolds With Curvature Bounded Below

Isabel Beach, Haydeé Contreras Peruyero, Regina Rotman +1

Let $M$ be a simply connected Riemannian manifold in ${\mathcal{M}}_{k,v}^D(n)$, the space of closed Riemannian manifolds of dimension $n$ with sectional curvature bounded below by $…