On Martinet's singular symplectic structures

• Autorzy: W. Domitrz , S. Janeczko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 51-59

Daty

wydano

1996

Twórcy

autor

W. Domitrz

• Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

autor

S. Janeczko

• Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

Bibliografia

• [1] R. Abraham and J. Marsden, Foundations of Mechanics, 2nd ed., Benjamin/Cummings, Reading, 1978.
• [2] V. I. Arnold, Lagrangian manifolds with singularities, asymptotic rays and the open swallow tail, Functional Anal. Appl. 15 (1981), 235-246.
• [3] M. Golubitsky and D. Tischler, An example of moduli for singular symplectic forms, Invent. Math. 38 (1977), 219-225.
• [4] S. Janeczko, Coisotropic varieties and their generating families, Ann. Inst. H. Poincaré 56 (1992), 429-441.
• [5] E. Lerman, R. Montgomery and R. Sjamaar, Examples of singular reduction, preprint, 1991.
• [6] J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1) (1970), 95-178.
• [7] J. Martinet, Singularities of Smooth Functions and Maps, Cambridge Univ. Press, Cambridge, 1982.
• [8] J. Moser, On volume elements on manifolds, Trans. Amer. Math. Soc. 120 (1965), 280-296.
• [9] R. Sjamaar and E. Lerman, Stratified symplectic spaces and reduction, Ann. of Math. 134 (1991), 375-442.
• [10] V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge, 1984.
• [11] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conf. Ser. in Math. 29, Amer. Math. Soc., Providence, R.I., 1977.