Geodesic
Stability is not open
[La stabilité n’est pas ouverte]
Cieliebak, Kai1  ; Frauenfelder, Urs2 ; Paternain, Gabriel P.3 
1 Ludwig-Maximilians-Universität Mathematisches Institut 80333 München (Germany)
2 Seoul National University Department of Mathematics Research Institute of Mathematics 151-747 Seoul (South Korea)
3 University of Cambridge Department of Pure Mathematics and Mathematical Statistics Cambridge CB3 0WB (UK)
Annales de l'Institut Fourier, Tome 60 (2010) no. 7, pp. 2449-2459

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We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.

Nous donnons un exemple d’une variété symplectique contenant une hypersurface stable telle que les hypersurfaces voisines sont instables.

DOI : 10.5802/aif.2614
Classification : 53D40, 53D25
Keywords: Stability, Hamiltonian structure, characteristic foliation
Mots-clés : stabilité, structure Hamiltonienne, feuilletage caractéristique

Cieliebak, Kai 1 ; Frauenfelder, Urs 2 ; Paternain, Gabriel P. 3

1 Ludwig-Maximilians-Universität Mathematisches Institut 80333 München (Germany)
2 Seoul National University Department of Mathematics Research Institute of Mathematics 151-747 Seoul (South Korea)
3 University of Cambridge Department of Pure Mathematics and Mathematical Statistics Cambridge CB3 0WB (UK) 
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     author = {Cieliebak, Kai and Frauenfelder, Urs and Paternain, Gabriel P.},
     title = {Stability is not open},
     journal = {Annales de l'Institut Fourier},
     pages = {2449--2459},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {60},
     number = {7},
     year = {2010},
     doi = {10.5802/aif.2614},
     zbl = {1235.53089},
     mrnumber = {2849269},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.2614/}
}
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Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P. Stability is not open. Annales de l'Institut Fourier, Tome 60 (2010) no. 7, pp. 2449-2459. doi: 10.5802/aif.2614

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