Injectivity radius lower bound of convex sum of tame Riemannian metrics and applications to symplectic topology

Jaeyoung Choi, Yong-Geun Oh

Motivated by the aspect of large-scale symplectic topology, we prove that for any pair $g_0,g_1$ of complete Riemannian metrics of bounded curvature and \emph{of injectivity ra…