In this chapter we are to analyse the positive energy periodic orbits. The basic technique is to minimize the energy functional on the infinite-dimensional manifold of H1-curves c : I → M, with I ≔[0,1]. As we shall see, this approach gives us full qualitative information for E large.
KeywordsPeriodic Orbit Conjugacy Class Loop Space Closed Geodesic Complete Riemannian Manifold
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