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On coisotropic imbeddings of presymplectic manifolds


Author: Mark J. Gotay
Journal: Proc. Amer. Math. Soc. 84 (1982), 111-114
MSC: Primary 53C15; Secondary 53C40, 58F05, 70G35
DOI: https://doi.org/10.1090/S0002-9939-1982-0633290-X
MathSciNet review: 633290
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Abstract: Existence and uniqueness theorems are proved for coisotropic imbeddings of presymplectic manifolds into symplectic manifolds.


References [Enhancements On Off] (What's this?)

  • [1] M. J. Gotay, Geometric quantization (M. J. Gotay, Ed.), University of Calgary, 1981.
  • [2] M. J. Gotay and J. Śniatycki, Quantization of presymplectic dynamical systems via coisotropic imbeddings, Comm. Math. Phys. (to appear). MR 641768 (83j:58050)
  • [3] A. Weinstein, Lectures on symplectic manifolds, CBMS Regional Conf. Ser. in Math., no. 29, Amer. Math. Soc., Providence, R. I., 1977. MR 0464312 (57:4244)
  • [4] -, Neighborhood classification of isotropic imbeddings, Univ. of California, Berkeley, 1979 (preprint).
  • [5] -, Advances in Math. 6 (1971), 329. MR 0286137 (44:3351)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0633290-X
Keywords: Symplectic, coisotropic imbeddings
Article copyright: © Copyright 1982 American Mathematical Society

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