Geodesic
Stability of the geodesic flow for the energy
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 201-213.

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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.
Classification : 53C20, 53C22, 53C30, 58E20
Keywords: geodesic flow; two-point homogeneous spaces; harmonic maps; stability; energy functional 
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     title = {Stability of the geodesic flow for the energy},
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Boeckx, E.; González-Dávila, J. C.; Vanhecke, L. Stability of the geodesic flow for the energy. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 201-213. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a1/