Equivalence of Lagrangian germs in the presence of a surface

Wojciech Domitrz; Stanisław Janeczko

Banach Center Publications (1997)

  • Volume: 39, Issue: 1, page 31-37
  • ISSN: 0137-6934

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Domitrz, Wojciech, and Janeczko, Stanisław. "Equivalence of Lagrangian germs in the presence of a surface." Banach Center Publications 39.1 (1997): 31-37. <http://eudml.org/doc/208671>.

@article{Domitrz1997,
author = {Domitrz, Wojciech, Janeczko, Stanisław},
journal = {Banach Center Publications},
keywords = {symplectic; lagrangian; germ; singularities; normal form},
language = {eng},
number = {1},
pages = {31-37},
title = {Equivalence of Lagrangian germs in the presence of a surface},
url = {http://eudml.org/doc/208671},
volume = {39},
year = {1997},
}

TY - JOUR
AU - Domitrz, Wojciech
AU - Janeczko, Stanisław
TI - Equivalence of Lagrangian germs in the presence of a surface
JO - Banach Center Publications
PY - 1997
VL - 39
IS - 1
SP - 31
EP - 37
LA - eng
KW - symplectic; lagrangian; germ; singularities; normal form
UR - http://eudml.org/doc/208671
ER -

References

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  1. [1] V. I. Arnol'd, Singularities in variational calculus, Current Problems in Mathematics, 22, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1983, 3-55 (Russian). 
  2. [2] V. I. Arnol’d, Critical points of functions on a manifold with boundary, simple Lie groups B k , C k , F 4 and singularities of evolutes, Uspekhi Mat. Nauk 33(5) (1978), 91-105. 
  3. [3] V. I. Arnol'd, S. M. Guseĭn-Zade and A. N. Varchenko, Singularities of Differentiable Maps, Vol. 1, Birkhäuser, Boston, 1985. 
  4. [4] W. Domitrz and S. Janeczko, Normal forms of symplectic structures on the stratified spaces, Colloq. Math. 68 (1995), 101-119. Zbl0824.58012
  5. [5] M. Golubitsky and D. Tischler, An example of moduli for singular symplectic forms, Invent. Math. 38 (1977), 219-225. Zbl0345.58002
  6. [6] M. Golubitsky and D. Tischler, On local stability of differential forms, Trans. Amer. Math. Soc. 223 (1970), 205-221. Zbl0339.58003
  7. [6] S. Janeczko and A. Kowalczyk, On singularities in the degenerated symplectic geometry, Hokkaido Math. J. 19 (1990), 103-123. Zbl0711.53027
  8. [7] J. Martinet, Sur les singularités des formes differentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), 95-178. Zbl0189.10001
  9. [8] J. Martinet, Singularities of Smooth Functions and Maps, Cambridge Univ. Press, Cambridge, 1982. 
  10. [9] R. Roussarie, Modèles locaux de champs et de formes, Astérisque 30 (1975), 1-181. Zbl0327.57017
  11. [10] V. Zakalyukin, The generalization of lagrangian triads, Uspekhi Mat. Nauk 41(4) (1986), 180. 

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