Length of a closed geodesic in 3-manifolds of positive scalar curvature

Yevgeny Liokumovich, Davi Maximo, Regina Rotman

Let $M$ be a closed $3$-dimensional Riemannian manifold with positive scalar curvature, $R_g\ge 6$. We show that $M$ contains a non-trivial closed geodesic of length less than $2…