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Stability of the geodesic flow for the energy. (English) Zbl 1090.53035
Summary: We study the stability of the geodesic flow \(\xi \) as a critical point for the energy functional when the base space is a compact orientable quotient of a two-point homogeneous space.

MSC:
53C20 Global Riemannian geometry, including pinching
53C22 Geodesics in global differential geometry
53C30 Differential geometry of homogeneous manifolds
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