Infinitesimal deformations and stabilities of singular Legendre submanifolds

Details Infinitesimal deformations and stabilities of singular Legendre submanifolds Infinitesimal deformations and stabilities of singular Legendre submanifolds

2003-11-12

arxiv.org/abs/math/0311182v1

Mathematics

Differential Geometry

46 pages, 1 figure

Scientific paper

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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