Normal forms of symplectic structures on the stratified spaces
Domitrz, W. ; Janeczko, S.
Colloquium Mathematicae, Tome 68 (1995), p. 101-119 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1995-01-01
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     author = {W. Domitrz and S. Janeczko},
     title = {Normal forms of symplectic structures on the stratified spaces},
     journal = {Colloquium Mathematicae},
     volume = {68},
     year = {1995},
     pages = {101-119},
     zbl = {0824.58012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv68i1p101bwm}
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Domitrz, W.; Janeczko, S. Normal forms of symplectic structures on the stratified spaces. Colloquium Mathematicae, Tome 68 (1995) pp. 101-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv68i1p101bwm/

[000] [1] R. Abraham and J. Marsden, Foundations of Mechanics, 2nd ed., Benjamin/Cummings, Reading, 1978. | Zbl 0393.70001

[001] [2] V. I. Arnold, Ordinary Differential Equations, The MIT Press, Cambridge, 1978.

[002] [3] V. I. Arnold, Lagrangian manifolds with singularities, asymptotic rays and the open swallowtail, Functional Anal. Appl. 15 (1981), 235-246.

[003] [4] M. Golubitsky and D. Tischler, An example of moduli for singular symplectic forms, Invent. Math. 38 (1977), 219-225. | Zbl 0345.58002

[004] [5] M. Golubitsky and D. Tischler, On local stability of differential forms, Trans. Amer. Math. Soc. 223 (1976), 205-221. | Zbl 0339.58003

[005] [6] V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge, 1984. | Zbl 0576.58012

[006] [7] S. Janeczko, Generalized Luneburg canonical varieties and vector fields on quasicaustics, J. Math. Phys. 31 (4) (1990), 997-1009. | Zbl 0714.58051

[007] [8] S. Janeczko, Coisotropic varietes and their generating families, Ann. Inst. H. Poincaré 56 (4) (1992), 429-441. | Zbl 0812.53036

[008] [9] S. Janeczko and I. Stewart, Symplectic singularities and optical diffraction, in: Lecture Notes in Math. 1493, Springer, 1991, 220-255. | Zbl 0742.58020

[009] [10] E. Lerman, R. Montgomery and R. Sjamaar, Examples of singular reduction, preprint, 1991. | Zbl 0812.58034

[010] [11] J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1) (1970), 95-178. | Zbl 0189.10001

[011] [12] --, Singularities of Smooth Functions and Maps, Cambridge Univ. Press, Cambridge, 1982.

[012] [13] J. Moser, On volume elements on manifolds, Trans. Amer. Math. Soc. 120 (1965), 280-296.

[013] [14] R. Roussarie, Modèles locaux de champs et de formes, Astérisque 30 (1975), 1-181. | Zbl 0327.57017

[014] [15] R. Sjamaar and E. Lerman, Stratified symplectic spaces and reduction, Ann. of Math. 134 (1991), 375-422. | Zbl 0759.58019

[015] [16] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Conf. Ser. in Math. 29, Amer. Math. Soc., Providence, R.I., 1977.