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An Acad Bras Cienc ; 79(1): 1-11, 2007 Mar.
Article in English | MEDLINE | ID: mdl-17401468

ABSTRACT

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.

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