Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

Author:

Duan Huagui,Long Yiming

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference31 articles.

1. Anosov, D.V.: Gedesics in Finsler geometry. In: Proc. I.C.M. (Vancouver, B.C. 1974), Vol. 2, pp. 293–297, Montreal (1975) (Russian), Am. Math. Soc. Transl. 109, 81–85 (1977)

2. Bangert V. and Klingenberg W. (1983). Homology generated by iterated closed geodesics. Topology 22: 379–388

3. Bangert, V., Long, Y.: The existence of two closed geodesics on every Finsler 2-sphere. Preprint (2005)

4. Ballmann W., Thobergsson G. and Ziller W. (1982). Closed geodesics on positivly curved manifolds. Ann. Math. 116: 213–247

5. Ballmann W., Thobergsson G. and Ziller W. (1983). Existence of closed geodesics on positivly curved manifolds. J. Differ. Geom. 18: 221–252

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