On focal stability in dimension two
Charles Pugh | Peixoto, Mauricio
Geodesics; Focal Decomposition; Focal Stability
In  (Focal Stability of Riemann Metrics, Kupka,I.; Peixoto,M.; Pugh,C (submitted) ) appears the Focal Stability Conjecture: the focal decomposition of the generic Riemann structure on a manifold M is stable under perturbations of the Riemann structure. In this paper, we prove the conjecture when M has dimension two, and there are no conjugate points.