Stability is not open
Annales de l'Institut Fourier, Volume 60 (2010) no. 7, p. 2449-2459

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 : https://doi.org/10.5802/aif.2614
Classification:  53D40,  53D25
Keywords: Stability, Hamiltonian structure, characteristic foliation 
@article{AIF_2010__60_7_2449_0,
     author = {Cieliebak, Kai and Frauenfelder, Urs and Paternain, Gabriel P.},
     title = {Stability is not open},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {60},
     number = {7},
     year = {2010},
     pages = {2449-2459},
     doi = {10.5802/aif.2614},
     mrnumber = {2849269},
     zbl = {1235.53089},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2010__60_7_2449_0}
}

Cieliebak, Kai; Frauenfelder, Urs; Paternain, Gabriel P. Stability is not open. Annales de l'Institut Fourier, Volume 60 (2010) no. 7, pp. 2449-2459. doi : 10.5802/aif.2614. http://www.numdam.org/item/AIF_2010__60_7_2449_0/

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