Dirac submanifolds of Jacobi manifolds

2002/05/02 by Izu Vaisman, Vaisman, Izu
Mathematics · #53D17 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D17

paper · pdf · doi:10.48550/arxiv.math/0205019

Latex, 22 pages

arxiv created 2002/05/02 · arxiv updated 2009/11/30

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.

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