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- W2953203993 abstract "We write down the local equations that characterize the submanifolds N of a Dirac manifold M which have a normal bundle that is either a coisotropic or an isotropic submanifold of TM endowed with the tangent Dirac structure. In the Poisson case, these formulas prove again a result of Xu: the submanifold N has a normal bundle which is a coisotropic submanifold of TM with the tangent Poisson structure iff N is a Dirac submanifold. In the presymplectic case, it is the isotropy of the normal bundle which characterizes the corresponding notion of a Dirac submanifold. On the way, we give a simple definition of the tangent Dirac structure, we make new remarks about it, and we establish characteristic, local formulas for various interesting classes of submanifolds of a Dirac manifold." @default.
- W2953203993 created "2019-06-27" @default.
- W2953203993 creator A5079842322 @default.
- W2953203993 date "2005-03-13" @default.
- W2953203993 modified "2023-09-27" @default.
- W2953203993 title "Tangent Dirac structures and submanifolds" @default.
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