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 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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 
@article{JEMS_2009_11_3_a5,
     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},
     year = {2009},
     volume = {11},
     number = {3},
     doi = {10.4171/jems/161},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/161/}
}
TY  - JOUR
AU  - Wei Wang
TI  - Stability of closed characteristics on compact convex hypersurfaces in $\mathbb{R}^6$
JO  - Journal of the European Mathematical Society
PY  - 2009
SP  - 575
EP  - 596
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/161/
DO  - 10.4171/jems/161
ID  - JEMS_2009_11_3_a5
ER  - 
%0 Journal Article
%A Wei Wang
%T Stability of closed characteristics on compact convex hypersurfaces in $\mathbb{R}^6$
%J Journal of the European Mathematical Society
%D 2009
%P 575-596
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/161/
%R 10.4171/jems/161
%F JEMS_2009_11_3_a5
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

Cité par Sources :