Holomorphic symplectic normalization of a real function

S. M. Webster

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1992)

  • Volume: 19, Issue: 1, page 69-86
  • ISSN: 0391-173X

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Webster, S. M.. "Holomorphic symplectic normalization of a real function." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 19.1 (1992): 69-86. <http://eudml.org/doc/84119>.

@article{Webster1992,
author = {Webster, S. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {symplectic normalization; generating functions; Lagrangian submanifold; Levi form},
language = {eng},
number = {1},
pages = {69-86},
publisher = {Scuola normale superiore},
title = {Holomorphic symplectic normalization of a real function},
url = {http://eudml.org/doc/84119},
volume = {19},
year = {1992},
}

TY - JOUR
AU - Webster, S. M.
TI - Holomorphic symplectic normalization of a real function
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1992
PB - Scuola normale superiore
VL - 19
IS - 1
SP - 69
EP - 86
LA - eng
KW - symplectic normalization; generating functions; Lagrangian submanifold; Levi form
UR - http://eudml.org/doc/84119
ER -

References

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  1. [1] V.I. Arnol'd - A.B. Givental, Symplectic geometry, in "Dynamical Systems IV, EMS." vol. 4, Springer-Verlag, Berlin, 1990. MR1042758
  2. [2] E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J.32 (1965), 1-22. Zbl0154.08501MR200476
  3. [3] S.S. Chern - J.K. Moser, Real hypersurfaces in complex manifolds, Acta Math.133 (1974), 219-271. Zbl0302.32015MR425155
  4. [4] L. Lempert, Symmetries and other transformations of the complex Monge-Ampere equation, Duke Math. J.52 (1985), 869-885. Zbl0598.35037MR816389
  5. [5] J.K. Moser - S.M. Webster, Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations, Acta Math.150 (1983), 255-296. Zbl0519.32015MR709143
  6. [6] C.L. Siegel - J.K. Moser, "Lectures on Celestial Mechanics", Springer-Verlag, New York, 1971. Zbl0312.70017MR502448
  7. [7] S.M. Webster, A normal form for a singular first order partial differential equation, Amer. J. Math.109 (1987), 807-833. Zbl0657.35028MR910352

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