Moving frames and differential invariants in centro-affine geometry

P. J. Olver

Research output: Contribution to journalArticlepeer-review

17 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 - 2010

Bibliographical note

Funding Information:
It is a pleasure to thank Peter Giblin for inspiring me to write this paper, and for helpful advice during its genesis. This research was supported in part by NSF Grant DMS 08-07317.

Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

Keywords

  • Centro-affine geometry
  • Differential invariant
  • Moving frame

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