On singularities of Hamiltonian mappings

• Autorzy: Takuo Fukuda , Stanisław Janeczko
• Języki publikacji: EN

Abstrakty

EN

The notion of an implicit Hamiltonian system-an isotropic mapping H: M → (TM,ω̇) 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.

Kategorie tematyczne

• 58C35: Integration on manifolds; measures on manifolds
• 70H05: Hamilton's equations
• 57R45: Singularities of differentiable mappings
• 37J35: Completely integrable systems, topological structure of phase space, integration methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 55-69

Daty

wydano

2008

Twórcy

autor

Takuo Fukuda

• Department of Mathematics, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajousui, Setagaya-ku, Tokyo, Japan

autor

Stanisław Janeczko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc82-0-4