Invariant closed geodesics under isometries of prime power order
Invariant closed geodesics under isometries of prime power order
Let M be a Riemannian manifold and h an isometry.A geodesic γ : R-> M is called to be invariant under h (or /ι-invariant) if there exists some number β^O such that h{γ{t))=γ{t+θ) for all t^R.Let C°{M,h) be the topological space of continuous curves σ: [0,1]-»M satisfying h{σ{0))=σ{l) with the …