Skip to main content
SpringerLink
Log in

Adjacency indices for singularities of wave fronts in low dimensional spaces

  • Brief Communications
  • Published:
Functional Analysis and Its Applications Aims and scope

Abstract

Formulas for calculating the adjacency indices of multisingularities for generic Legendre mappings to spaces of dimension at most 6 are given.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

|References

  1. V. I. Arnold, Singularities of Caustics and Wave Fronts [in Russian], FAZIS, Moscow, 1996.

    Google Scholar 

  2. V. A. Vassiliev, Lagrangian and Legendrian Characteristic Classes [in Russian], MCCME, Moscow, 2000.

    Google Scholar 

  3. O. V. Lyashko, Funkts. Anal. Prilozhen., 10:2 (1976), 49–56; English transl.: Functional Anal. Appl., 10:2 (1976), 122–128.

    Google Scholar 

  4. Yu. S. Chislenko, Funkts. Anal. Prilozhen., 22:4 (1988), 52–67; English transl.: Functional Anal. Appl., 22:4 (1988), 297–310.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Gubkin Russian State University of Oil and Gas, Gubkin, Russia

    V. D. Sedykh

Authors
  1. V. D. Sedykh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. D. Sedykh.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 44, No. 3, pp. 88–91, 2010

Original Russian Text Copyright © by V. D. Sedykh

The work was supported by RFBR grant no. 08-01-00388.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sedykh, V.D. Adjacency indices for singularities of wave fronts in low dimensional spaces. Funct Anal Its Appl 44, 234–236 (2010). https://doi.org/10.1007/s10688-010-0032-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10688-010-0032-z

Key words

Search

Navigation