E. Boeckx, J.C. Gonz\'alez-D\'avila, L. Vanhecke
Stability of the geodesic flow for the energy

Comment.Math.Univ.Carolinae 43,2 (2002) 201-213.

Abstract: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.

Keywords: geodesic flow, two-point homogeneous spaces, harmonic maps, stability, energy functional
AMS Subject Classification: 53C20, 53C22, 53C30, 58E20