A Vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries

Paufler, Cornelius

doi:10.1016/S0034-4877(01)90007-2

A Vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries

Cornelius Paufler
(
- Freiburg U.
)

Feb, 2000

14 pages

Published in:

Rept.Math.Phys. 47 (2001) 101

e-Print:

math-ph/0002032 [math-ph]

DOI:

10.1016/S0034-4877(01)90007-2

Report number:

FREIBURG-THEP-99-14

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Abstract:

A vertical exterior derivative is constructed that is needed for a graded Poisson structure on multisymplectic manifolds over nontrivial vector bundles. In addition, the properties of the Poisson bracket are proved and first examples are discussed.

References(12)

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