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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Bibliographic Details
Date:2015
Main Authors: Bushek, N., Clelland, J.N.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146809
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Geometry of Centroaffine Surfaces in R⁵ / N. Bushek, J.N. Clelland // 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