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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 001, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.001 (Mi sigma982) 		 
Geometry of Centroaffine Surfaces in $\mathbb{R}^5$

Nathaniel Busheka, Jeanne N. Clellandb

a Department of Mathematics, UNC - Chapel Hill, CB \# 3250, Phillips Hall, Chapel Hill, NC 27599, USA
b Department of Mathematics, 395 UCB, University of Colorado, Boulder, CO 80309-0395, USA
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DOI: https://doi.org/10.3842/SIGMA.2015.001
Abstract: We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in $\mathbb{R}^5 \setminus \{0\}$ with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.
Keywords: centroaffine geometry; Cartan's method of moving frames.
Received: August 23, 2014; in final form December 26, 2014; Published online January 6, 2015
Bibliographic databases:
Document Type: Article
MSC: 53A15; 58A15
Language: English
Citation: Nathaniel Bushek, Jeanne N. Clelland, “Geometry of Centroaffine Surfaces in $\mathbb{R}^5$”, SIGMA, 11 (2015), 001, 24 pp.
Citation in format AMSBIB
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\paper Geometry of Centroaffine Surfaces in $\mathbb{R}^5$
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