Determinacy, transversality and Lagrange stability
Go-O Ishikawa (1999)
Banach Center Publications
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Go-O Ishikawa (1999)
Banach Center Publications
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Wojciech Domitrz, Stanisław Janeczko (1997)
Banach Center Publications
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S. Janeczko (2000)
Annales Polonici Mathematici
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Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).
Aleksey Davydov (1995)
Banach Center Publications
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Toru Ohmoto (1996)
Banach Center Publications
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A smooth mapping of a smooth n-dimensional manifold L into a smooth 2n-dimensional symplectic manifold (M,ω) is called isotropic if f*ω vanishes. In the last ten years, the local theory of singularities of isotropic mappings has been rapidly developed by Arnol’d, Givental’ and several authors, while it seems that the global theory of their singularities has not been well studied except for the work of Givental’ [G1] in the case of dimension 2 (cf. [A], [Au], [I2], [I-O]). In the present...
Lee, Brian (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Oleg Myasnichenko (1997)
Banach Center Publications
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Takashi Nishimura (1999)
Banach Center Publications
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Pankov, Mark (2006)
Beiträge zur Algebra und Geometrie
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S. Janeczko (1995)
Banach Center Publications
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Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical...
Wainberg, Dorin (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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