Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators

  title={Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators},
  author={Mar{\'i}a Amelia Salazar and Daniele Sepe},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  • M. A. SalazarD. Sepe
  • Published 9 June 2014
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
Motivated by the importance of symplectic isotropic realisations in the study of Poisson manifolds, this paper investigates the local and global theory of contact isotropic realisations of Jacobi manifolds, which are those of minimal dimension. These arise naturally when considering multiplicity-free actions in contact geometry, as shown in this paper. The main results concern a classification of these realisations up to a suitable notion of isomorphism, as well as establishing a relation… 

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