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

Turiel, Francisco. "Classification of (1,1) tensor fields and bihamiltonian structures." Banach Center Publications 33.1 (1996): 449-458. <http://eudml.org/doc/262671>.

@article{Turiel1996,
abstract = {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.},
author = {Turiel, Francisco},
journal = {Banach Center Publications},
keywords = {(1,1) tensor field; bihamiltonian structure; Nijenhuis torsion; bi-Hamiltonian structure},
language = {eng},
number = {1},
pages = {449-458},
title = {Classification of (1,1) tensor fields and bihamiltonian structures},
url = {http://eudml.org/doc/262671},
volume = {33},
year = {1996},
}

TY - JOUR
AU - Turiel, Francisco
TI - Classification of (1,1) tensor fields and bihamiltonian structures
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 449
EP - 458
AB - 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.
LA - eng
KW - (1,1) tensor field; bihamiltonian structure; Nijenhuis torsion; bi-Hamiltonian structure
UR - http://eudml.org/doc/262671
ER -