Geometry of centroaffine surfaces in ℝ5

Nathaniel Bushek, Jeanne N. Clelland

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number001
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - Jan 6 2015
Externally publishedYes

Bibliographical note

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© 2015, Institute of Mathematics. All rights reserved.


  • Cartan's method of moving frames
  • Centroaffine geometry


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