On focal stability in dimension two.
In Kupka et al. 2006 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.
Peixoto
Mauricio M
MM
Instituto de Matemática Pura e Aplicada, Rio de Janeiro, RJ, 22460-320, Brasil. peixoto@impa.br
Pugh
Charles C
CC