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.
@article{119314, author = {Eric Boeckx and Jos\'e Carmelo Gonz\'alez-D\'avila and Lieven Vanhecke}, title = {Stability of the geodesic flow for the energy}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {43}, year = {2002}, pages = {201-213}, zbl = {1090.53035}, mrnumber = {1922122}, language = {en}, url = {http://dml.mathdoc.fr/item/119314} }
Boeckx, Eric; González-Dávila, José Carmelo; Vanhecke, Lieven. Stability of the geodesic flow for the energy. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 201-213. http://gdmltest.u-ga.fr/item/119314/
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