Dirac submanifolds of Jacobi manifolds

Details Dirac submanifolds of Jacobi manifolds Dirac submanifolds of Jacobi manifolds

2002-05-02

arxiv.org/abs/math/0205019v1

Mathematics

Symplectic Geometry

Latex, 22 pages

Scientific paper

The notion of a Dirac submanifold of a Poisson manifold was studied by Xu
(arXiv:math.SG/0110326). We give an interpretation of Xu's definition in terms
of a general notion of tensor fields soldered to a normalized submanifold.
Then, this interpretation is used to define Dirac submanifolds of a Jacobi
manifold. Several properties and examples are discussed.

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