On focal stability in dimension two

Anais da Academia Brasileira de Ciências

Mauricio M. Peixoto²  Charles C. Pugh¹ 

[1] ,Instituto de Matemática Pura e AplicadaRio de Janeiro RJ ,Brasil

关键词: geodesics;    focal decomposition;    focal stability;    genericity;    Teichmuller space;    geodésicas;    decomposição focal;    estabilidade focal;    genetricidade;    espaço de Teichmuller;   

DOI  :  10.1590/S0001-37652007000100001

来源: SciELO

【 摘 要 】

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.

【 授权许可】

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