A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry
A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry
The computation of the index of the Hessian of the action functional in semi-Riemannian geometry at geodesics with two variable endpoints is reduced to the case of a fixed final endpoint. Using this observation, we give an elementary proof of the Morse index theorem for Riemannian geodesics with two variable …