Transversalities for Lagrange singularities of isotropic mappings of corank one
Goo Ishikawa (1996)
Banach Center Publications
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Goo Ishikawa (1996)
Banach Center Publications
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Lee, Brian (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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).
Bakuradze, M. (1998)
Georgian Mathematical Journal
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P. M. Kouotchop Wamba, A. Ntyam, J. Wouafo Kamga (2011)
Archivum Mathematicum
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Let be an almost Dirac structure on a manifold . In [2] Theodore James Courant defines the tangent lifting of on and proves that: If is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.
Jan Kurek, Wlodzimierz M. Mikulski (2006)
Extracta Mathematicae
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We describe all canonical 2-forms Λ(ω) on the r-th order tangent bundle TM = J (;M) of a symplectic manifold (M, ω). As a corollary we deduce that all canonical symplectic structures Λ(ω) on TM over a symplectic manifold (M, ω) are of the form Λ(ω) = Σ αω for all real numbers α with α ≠ 0, where ω is the (k)-lift (in the sense of A. Morimoto) of ω to TM.
Oleg Myasnichenko (1996)
Banach Center Publications
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Wainberg, Dorin (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Małgorzata Mikosz (1999)
Banach Center Publications
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Jürgen Eichhorn, Thomas Friedrich (1997)
Banach Center Publications
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We give an introduction into and exposition of Seiberg-Witten theory.