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Periodic Orbits

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 13)

Abstract

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.

Keywords

Periodic Orbit Conjugacy Class Loop Space Closed Geodesic Complete Riemannian Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

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