Moving frames and differential invariants in centro-affine geometry

P. J. Olver

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Explicit formulas for the generating differential invariants and invariant differential operators for curves in two- and three-dimensional centro-equi-affine and centro-affine geometry and surfaces in three-dimensional centro-equi-affine geometry are constructed using the equivariant method of moving frames. In particular, the algebra of centro-equi-affine surface differential invariants is shown to be generated by a single second order invariant.

Original languageEnglish (US)
Pages (from-to)77-89
Number of pages13
JournalLobachevskii Journal of Mathematics
Volume31
Issue number2
DOIs
StatePublished - Jun 7 2010

Keywords

  • Centro-affine geometry
  • Differential invariant
  • Moving frame

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