On singularities of Hamiltonian mappings
説明
The notion of an implicit Hamiltonian system—an isotropic mapping H : M → (TM, ω) into the tangent bundle endowed with the symplectic structure defined by canonical morphism between tangent and cotangent bundles of M—is studied. The corank one singularities of such systems are classified. Their transversality conditions in the 1-jet space of isotropic mappings are described and the corresponding symplectically invariant algebras of Hamiltonian generating functions are calculated.
収録刊行物
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- Banach Center Publications
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Banach Center Publications 55-69, 2008-01-01
Institute of Mathematics Polish Academy of Sciences