Geometry of centroaffine surfaces in \(\mathbb R^5\)

DOI10.3842/SIGMA.2015.001zbMATH Open1314.53016arXiv1408.4088OpenAlexW1860396231MaRDI QIDQ2339237

Nathaniel Bushek, Jeanne Nielsen Clelland

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in

m a t h b b R^{5} s e t m i n u s 0

with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

Full work available at URL: https://arxiv.org/abs/1408.4088

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zbMATH Keywords

centroaffine geometry Cartan's method of moving frames

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Affine differential geometry (53A15)

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