Classification of (1,1) tensor fields and bihamiltonian structures
Turiel, Francisco
Banach Center Publications, Tome 37 (1996), p. 449-458 / Harvested from The Polish Digital Mathematics Library
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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 f1,...,fm, defined around p, such that (df1∧...∧dfm)(p)≠0 and d(dfj(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.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262671 
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     title = {Classification of (1,1) tensor fields and bihamiltonian structures},
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     volume = {37},
     year = {1996},
     pages = {449-458},
     zbl = {0873.53017},
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Turiel, Francisco. Classification of (1,1) tensor fields and bihamiltonian structures. Banach Center Publications, Tome 37 (1996) pp. 449-458. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p449bwm/

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