Dirac submanifolds of Jacobi manifolds
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0205019,
title = {Dirac submanifolds of Jacobi manifolds},
author = {Izu Vaisman},
journal= {arXiv preprint arXiv:math/0205019},
year = {2007}
}
Comments
Latex, 22 pages