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A generalization of Cartan’s theorem on isoparametric cubics
Royal Institute of Technology, Stockholm, Sweden.ORCID iD: 0000-0002-8422-6140
2010 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 138, 2889-2895 p.Article in journal (Refereed) Published
Abstract [en]

We generalize the well-known result of É. Cartan on isoparametric cubics by showing that a homogeneous cubic polynomial solution of the eikonal equation must be rotationally equivalent to either a reducible Jordan cubic or to one of four Cartan cubic polynomials in dimensions n=5,8,14,26.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2010. Vol. 138, 2889-2895 p.
Keyword [en]
Cartan's theorem, division algebras, composition formulas, quadratic
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-79627DOI: 10.1090/S0002-9939-10-10385-2OAI: oai:DiVA.org:liu-79627DiVA: diva2:577308
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Available from: 2012-12-14 Created: 2012-08-11 Last updated: 2017-12-06

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Tkachev, Vladimir

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