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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}. 1. vyd. USA: American Mathematical Society, 2001, s.~343-347. Contemporary Mathematics 288. ISBN~0-8218-2750-2.
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