Mathematics – Symplectic Geometry
Scientific paper
2001-01-22
Mathematics
Symplectic Geometry
23 pages, LateX
Scientific paper
The Courant bracket defined originally on the sections of the vector bundle
$TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle
and its dual. The extended bracket allows to interpret many structures
encountered in differential geometry in terms of Dirac structures. We give here
a new approach to conformal Jacobi structures.
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