Geometry of Centroaffine Surfaces in mathbb{R}⁵
classification
🧮 math.DG
keywords
centroaffinesurfacescompletemathbbnondegeneratecartanclassclassification
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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.
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