Skip to main content
Log in

Lagrangian imbeddings of surfaces and unfolded Whitney umbrella

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. V. I. Arnol'd, "Characteristic class which occurs in the quantization condition," Funkts. Anal. Prilozhen.,1, No. 1, 1–14 (1967).

    Google Scholar 

  2. V. I. Arnol'd, "Singularities of system of rays," Usp. Mat. Nauk,38, No. 2, 77–147 (1983).

    Google Scholar 

  3. V. I. Arnol'd, A. N. Varchenko, and S.-M. Gusein-Zade, Singularities of Differentiable Maps [in Russian], Vol. 1, Nauka, Moscow (1984).

    Google Scholar 

  4. O. P. Shcherbak, "Projective duality of spaces curves and Legendre singularities," Trudy Tbilis. Univ.,232–233, Nos. 13–14, 280–336 (1982).

    Google Scholar 

  5. M. Gromov, "Pseudo holomorphic curves in symplectic manifolds," Invent. Math.,82, No. 5, 307–347 (1985).

    Google Scholar 

  6. H. Whitney, "The general type of singularities of a set of 2n — 1 smooth functions of n variables," Duke J. Math.,45, Ser. 2, 220–293 (1944).

    Google Scholar 

Download references

Authors

Additional information

Institute of Chemical Physics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 20, No. 3, pp. 35–41, July–September, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Givental’, A.B. Lagrangian imbeddings of surfaces and unfolded Whitney umbrella. Funct Anal Its Appl 20, 197–203 (1986). https://doi.org/10.1007/BF01078471

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01078471

Keywords

Navigation