V. D. Sedykh, “On the topology of wave fronts in spaces of low dimension”, Izv. RAN. Ser. Mat., 2012, Volume 76, Issue 2,Pages <nobr>171

This article is cited in 13 papers

On the topology of wave fronts in spaces of low dimension

V. D. Sedykh

Gubkin Russian State University of Oil and Gas

Abstract: We calculate the adjacency indices of the singularities of generic wave fronts in spaces of dimension $n\le6$. As a corollary, we find new conditions for the coexistence of singularities of wave fronts.

Keywords: Legendrian maps, wave fronts, (multi)singularities, adjacency index, Euler characteristic.

UDC: 515.16

MSC: 57R45, 53D35, 58K05

Received: 07.05.2010

DOI: 10.4213/im4572