Geometry of Centroaffine Surfaces in R⁵

We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

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Datum:2015
Hauptverfasser: Bushek, N., Clelland, J.N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2015
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146863
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Geometry of Centroaffine Surfaces in R⁵ / N. Bushek // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine