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On Focal stability in dimension two

InKupka et al. 2006 appears the Focal Stability Conjecture: the focal decomposition of the generic Riemannstructure on a manifold M is stable under perturbations of the Riemann structure. In this paper, we provethe conjecture when M has dimension two, and there are no conjugate points.

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Publicat a:Anais da Academia Brasileira de Ciências
Autors principals: Mauricio M. Peixoto, Charles C. Pugh
Format: Artigo
Idioma:Inglês
Publicat: Academia Brasileira de Ciências 2007
Matèries:
Accés en línia:https://www.redalyc.org/articulo.oa?id=32779101
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