Geodesic
Stability of closed characteristics on compact convex hypersurfaces in $\mathbb{R}^6$
Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 575-596.

Voir la notice de l'article provenant de la source EMS Press

Let Σ ⊂ R6 be a compact convex hypersurface. We prove that if Σ carries only finitely many geometrically distinct closed characteristics, then at least two of them must have irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.
DOI : 10.4171/jems/161
Classification : 58-XX, 37-XX, 00-XX
Keywords: Compact convex hypersurfaces, closed characteristics, Hamiltonian systems, Morse theory, mean index identity, stability 
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     author = {Wei Wang},
     title = {Stability of closed characteristics on compact convex hypersurfaces in $\mathbb{R}^6$},
     journal = {Journal of the European Mathematical Society},
     pages = {575--596},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2009},
     doi = {10.4171/jems/161},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/161/}
}
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Wei Wang. Stability of closed characteristics on compact convex hypersurfaces in $\mathbb{R}^6$. Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 575-596. doi : 10.4171/jems/161. http://geodesic.mathdoc.fr/articles/10.4171/jems/161/

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