Equivalence of Lagrangian germs in the presence of a surface
Domitrz, Wojciech ; Janeczko, Stanisław
Banach Center Publications, Tome 38 (1997), p. 31-37 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:208671
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     author = {Domitrz, Wojciech and Janeczko, Stanis\l aw},
     title = {Equivalence of Lagrangian germs in the presence of a surface},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {31-37},
     zbl = {0881.57028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p31bwm}
}
Domitrz, Wojciech; Janeczko, Stanisław. Equivalence of Lagrangian germs in the presence of a surface. Banach Center Publications, Tome 38 (1997) pp. 31-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p31bwm/

[000] [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).

[001] [2] V. I. Arnol’d, Critical points of functions on a manifold with boundary, simple Lie groups Bk, Ck, F4 and singularities of evolutes, Uspekhi Mat. Nauk 33(5) (1978), 91-105.

[002] [3] V. I. Arnol'd, S. M. Guseĭn-Zade and A. N. Varchenko, Singularities of Differentiable Maps, Vol. 1, Birkhäuser, Boston, 1985.

[003] [4] W. Domitrz and S. Janeczko, Normal forms of symplectic structures on the stratified spaces, Colloq. Math. 68 (1995), 101-119. | Zbl 0824.58012

[004] [5] M. Golubitsky and D. Tischler, An example of moduli for singular symplectic forms, Invent. Math. 38 (1977), 219-225. | Zbl 0345.58002

[005] [6] M. Golubitsky and D. Tischler, On local stability of differential forms, Trans. Amer. Math. Soc. 223 (1970), 205-221. | Zbl 0339.58003

[006] [6] S. Janeczko and A. Kowalczyk, On singularities in the degenerated symplectic geometry, Hokkaido Math. J. 19 (1990), 103-123. | Zbl 0711.53027

[007] [7] J. Martinet, Sur les singularités des formes differentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), 95-178. | Zbl 0189.10001

[008] [8] J. Martinet, Singularities of Smooth Functions and Maps, Cambridge Univ. Press, Cambridge, 1982.

[009] [9] R. Roussarie, Modèles locaux de champs et de formes, Astérisque 30 (1975), 1-181. | Zbl 0327.57017

[010] [10] V. Zakalyukin, The generalization of lagrangian triads, Uspekhi Mat. Nauk 41(4) (1986), 180.