On focal stability in dimension two

Author:

Peixoto Mauricio M.1,Pugh Charles C.2

Affiliation:

1. Instituto de Matemática Pura e Aplicada, Brasil

2. University of Toronto, Canada

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.

Publisher

FapUNIFESP (SciELO)

Subject

Multidisciplinary

Reference3 articles.

1. Focal Stability of Riemann Metrics;KUPKA I PEIXOTO MM;J Reine Angew Math,2006

2. Minimally Separating Sets, Mediatrices and Brillouin Spaces;BERNHARD J;Topol Appl,2006

3. The generic conjugate locus: Global Analysis, Proceedings of Symposia in Pure Mathematics;WEINSTEIN A;Am Math Soc,1970

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