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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2012 Volume 46, Issue 1, Pages 92–96 (Mi faa3035)
This article is cited in 2 papers

Brief communications

On Euler Characteristics of Manifolds of Singularities of Wave Fronts

V. D. Sedykh

Gubkin Russian State University of Oil and Gas, Moscow

Abstract: All linear relations with real coefficients between the Euler characteristics of manifolds of singularities of wave fronts are found for all generic compact fronts in all spaces of dimension at most $6$.

Keywords: Legendre mapping, wave front, singularities of types $A$, $D$, and $E$, Euler characteristic.

UDC: 515.16

Received: 30.09.2009

DOI: 10.4213/faa3035


 English version: Functional Analysis and Its Applications, 2012, 46:1, 77–80

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