Asian Journal of Mathematics

Volume 9 (2005)

Number 1

Infinitesimal Deformations and Stability of Singular Legendre Submanifolds

Pages: 133 – 166

DOI: http://dx.doi.org/10.4310/AJM.2005.v9.n1.a10

Author

Go-O Ishikawa

Abstract

We give the characterization of Arnold-Mather type for stable singular Legendre immersions in connection with the classification problem. 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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