Differential invariants of conformal and projective surfaces

Evelyne Hubert, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based on the equivariant method of moving frames.

Original languageEnglish (US)
Article number097
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume3
DOIs
StatePublished - Jan 1 2007

Keywords

  • Conformal differential geometry
  • Differential algebra
  • Differential invariants
  • Moving frame
  • Projective differential geometry
  • Syzygy

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