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Mathematics  2003 

Infinitesimal deformations and stabilities of singular Legendre submanifolds

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We give the characterization of Arnol'd-Mather type for stable singular Legendre immersions. The most important building block of the theory is providing a module structure on the space of infinitesimal integral deformations by means of the notion of natural liftings of differential systems and of contact Hamiltonian vector fields.


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