Geodesic
Geometry of Centroaffine Surfaces in $\mathbb{R}^5$
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Nathaniel Bushek and Jeanne N. Clelland},
     title = {Geometry of {Centroaffine} {Surfaces} in $\mathbb{R}^5$},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a0/}
}
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Nathaniel Bushek; Jeanne N. Clelland. Geometry of Centroaffine Surfaces in $\mathbb{R}^5$. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a0/

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