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@inproceedings{387071, author = {Janyška, Josef}, address = {USA}, booktitle = {Global Differential Geometry: The Mathematical Legacy of Alfred Gray}, edition = {1.}, keywords = {Poisson structure; Jacobi structure; pseudo-Riemannian manifold}, language = {eng}, location = {USA}, isbn = {0-8218-2750-2}, pages = {343-347}, publisher = {American Mathematical Society}, title = {Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold}, year = {2001} }
TY - JOUR ID - 387071 AU - Janyška, Josef PY - 2001 TI - Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold VL - Contemporary Mathematics 288 PB - American Mathematical Society CY - USA SN - 0821827502 KW - Poisson structure KW - Jacobi structure KW - pseudo-Riemannian manifold N2 - Let $M$ be a differentiable manifold with a pseudo-Riemannian metric $g$ and a linear symmetric connection $K$. We deduce conditions to define Poisson or Jacobi structures on $TM$ for all vector fields and 2-vector fields naturally induced on $TM$ by $g$ and $K$. ER -
JANYŠKA, Josef. Natural Poisson and Jacobi structures on the tangent bundle of a pseudo-Riemannian manifold. In \textit{Global Differential Geometry: The Mathematical Legacy of Alfred Gray}. 1st ed. USA: American Mathematical Society, 2001, p.~343-347. Contemporary Mathematics 288. ISBN~0-8218-2750-2.
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