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Functional Analysis and Its Applications

, Volume 44, Issue 3, pp 234–236 | Cite as

Adjacency indices for singularities of wave fronts in low dimensional spaces

  • V. D. Sedykh
Brief Communications

Abstract

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

Key words

Legendre mappings wave fronts singularities of types A, D, E multisingularities adjacency index 

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|References

  1. [1]
    V. I. Arnold, Singularities of Caustics and Wave Fronts [in Russian], FAZIS, Moscow, 1996.Google Scholar
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    V. A. Vassiliev, Lagrangian and Legendrian Characteristic Classes [in Russian], MCCME, Moscow, 2000.Google Scholar
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    O. V. Lyashko, Funkts. Anal. Prilozhen., 10:2 (1976), 49–56; English transl.: Functional Anal. Appl., 10:2 (1976), 122–128.Google Scholar
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    Yu. S. Chislenko, Funkts. Anal. Prilozhen., 22:4 (1988), 52–67; English transl.: Functional Anal. Appl., 22:4 (1988), 297–310.MATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Gubkin Russian State University of Oil and GasGubkinRussia

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