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math.DS2009★ 3 cited
On the stability of Mañé critical hypersurfaces
Leonardo Macarini, Gabriel P. Paternain
We construct examples of Tonelli Hamiltonians on $\T^n$ (for any ) such that the hypersurfaces corresponding to the Mañé critical value are stable (i.e. geodesible). We al…
math.SG2009
Stability is not open
K. Cieliebak, U. Frauenfelder, G. P. Paternain
We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.