Classification of (1,1) tensor fields and bihamiltonian structures

• Autorzy: Francisco Javier Turiel
• Języki publikacji: EN

Abstrakty

EN

Consider a (1,1) tensor field J, defined on a real or complex m-dimensional manifold M, whose Nijenhuis torsion vanishes. Suppose that for each point p ∈ M there exist functions $f_{1},...,f_{m}$, defined around p, such that $(df_{1} ∧ ... ∧ df_{m})(p) ≠ 0$ and $d(df_{j}(J( )))(p) = 0$, j = 1,...,m. Then there exists a dense open set such that we can find coordinates, around each of its points, on which J is written with affine coefficients. This result is obtained by associating to J a bihamiltonian structure on T*M.

Słowa kluczowe

EN

(1,1) tensor field   bihamiltonian structure  

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 449-458

Daty

wydano

1996

Twórcy

autor

Francisco Javier Turiel

• Sección de Matemáticas, Facultad de Ciencias, A.P. 59, 29080 Málaga, Spain

Bibliografia

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