This is a short survey on the type numbers of closed geodesics, on applications of the Morse theory to proving the existence of closed geodesics and on the recent progress in applying variational methods to the periodic problem for Finsler and magnetic geodesics.
Keywords:
closed geodesic, Morse theory, loop space, Finsler metric
Citation:
Taimanov I. A., The type numbers of closed geodesics, Regular and Chaotic Dynamics,
2010, Volume 15, Number 1,
pp. 84-100