Transversalities for Lagrange singularities of isotropic mappings of corank one

Goo Ishikawa

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 93-104
  • ISSN: 0137-6934

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Ishikawa, Goo. "Transversalities for Lagrange singularities of isotropic mappings of corank one." Banach Center Publications 33.1 (1996): 93-104. <http://eudml.org/doc/262718>.

@article{Ishikawa1996,
author = {Ishikawa, Goo},
journal = {Banach Center Publications},
keywords = {Lagrange singularities; isotropic mappings; transversality theorem},
language = {eng},
number = {1},
pages = {93-104},
title = {Transversalities for Lagrange singularities of isotropic mappings of corank one},
url = {http://eudml.org/doc/262718},
volume = {33},
year = {1996},
}

TY - JOUR
AU - Ishikawa, Goo
TI - Transversalities for Lagrange singularities of isotropic mappings of corank one
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 93
EP - 104
LA - eng
KW - Lagrange singularities; isotropic mappings; transversality theorem
UR - http://eudml.org/doc/262718
ER -

References

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  1. [A1] V. I. Arnol'd, Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail, Functional Anal. Appl. 15 (4) (1981), 235-246. 
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  3. [AGV] V. I. Arnol'd, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Maps I, Birkhäuser, 1985. 
  4. [DP] N. H. Du'c et F. Pham, Germes de configurations Legendriennes stables et fonctions d'Airy-Weber généralisées, Ann. Inst. Fourier (Grenoble) 41 (4) (1991), 905-936. Zbl0741.58048
  5. [G1] A. B. Givental', Lagrangian imbeddings of surfaces and unfolded Whitney umbrella, Funktsional. Anal. i Prilozhen. 20 (3) (1986), 35-41 (in Russian). 
  6. [G2] A. B. Givental', Singular Lagrangian varieties and their Lagrangian mappings, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 33, VINITI, 1988, 55-112 (in Russian). 
  7. [Go] H. Goldschmidt, Integrability criteria for systems of nonlinear partial differential equations, J. Differential Geom. 1 (1967), 269-307. Zbl0159.14101
  8. [I1] G. Ishikawa, The local model of an isotropic map-germ arising from one dimensional symplectic reduction, Math. Proc. Cambridge Philos. Soc. 111 (1992), 103-112. Zbl0761.58015
  9. [I2] G. Ishikawa, Maslov class of an isotropic map-germ arising from one-dimensional symplectic reduction, in: Adv. Stud. in Pure Math. 22, 1993, 53-68. Zbl0798.58029
  10. [I3] G. Ishikawa, Singularities of front mappings, in preparation. 
  11. [J] S. Janeczko, Generating families for images of Lagrangian submanifolds and open swallowtails, Math. Proc. Cambridge Philos. Soc. 100 (1986), 91-107. Zbl0635.58012
  12. [M1] J. N. Mather, Stability of C mappings: V, Transversality, Adv. of Math. 4 (1970), 301-336. 
  13. [M2] J. N. Mather, Stratifications and mappings, in: M. Peixoto (ed.), Dynamical Systems, Proceedings of Salvador Symposium on Dynamical Systems, Academic Press, 1973, 195-232. 
  14. [T] R. Thom, Singularities of differentiable mappings (notes by H. I. Levine), Bonn. Math. Schr. 1960; C. T. C. Wall (ed.), Proc. Singularities Sympos. Liverpool, Lecture Notes in Math. 192, Springer, 1971, 1-89. 
  15. [W] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conf. Ser. in Math. 29, Amer. Math. Soc., 1977. 
  16. [Z] V. M. Zakalyukin, Generating ideals of Lagrangian varieties, in: Theory of Singularities and its Applications, V.I. Arnol'd (ed.), Adv. in Soviet Math. 1, Amer. Math. Soc., 1990, 201-210. 

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