%0 Journal Article %T Infinitesimal deformations and stabilities of singular Legendre submanifolds %A G. Ishikawa %J Mathematics %D 2003 %I arXiv %X 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. %U http://arxiv.org/abs/math/0311182v1