Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/4237

Title: Integrable four-component systems of conservation laws and linear congruences in ${\mathbb P}^5$
Authors: Ferapontov, E.V.
Agafonov, S.I.
Issue Date: 2005
Publisher: © Cambridge University Press
Citation: FERAPONTOV, E.V. and AGAFONOV, S.I., 2005. Integrable four-component systems of conservation laws and linear congruences in ${\mathbb P}^5$. Glasgow Mathematical Journal, 47 (A), pp. 17-32
Abstract: We propose a differential-geometric classification of the fourcomponent hyperbolic systems of conservation laws which satisfy the following properties: (a) they do not possess Riemann invariants; (b) they are linearly degenerate; (c) their rarefaction curves are rectilinear; (d) the cross-ratio of the four characteristic speeds is harmonic. This turns out to provide a classification of projective congruences in ${\mathbb P}^5$ whose developable surfaces are planar pencils of lines, each of these lines cutting the focal variety at points forming a harmonic quadruplet. Symmetry properties and the connection of these congruences to Cartan’s isoparametric hypersurfaces are discussed.
Description: This article was published in Glasgow Mathematical Journal [© Cambridge University Press]. The definitive version is available at: http://journals.cambridge.org/action/displayJournal?jid=GMJ
Version: Published
DOI: 10.1017/S0017089505002259
URI: https://dspace.lboro.ac.uk/2134/4237
Publisher Link: http://dx.doi.org/10.1017/S0017089505002259
ISSN: 0017-0895
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
FERAPONTOV.pdf171.07 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.