Introducing the Classical Method of Moving Frames
Differential Geometry
2023-08-01 v1
Abstract
The method of moving frames (rep\`ere mobile) was used by Elie Cartan as a way of organizing the identification of differential invariants and solving equivalence problems. In this expository paper, we discuss how moving frames are used to determine differential invariants of curves and surfaces under the action of Euclidean, affine and conformal transformation groups.
Keywords
Cite
@article{arxiv.2307.16085,
title = {Introducing the Classical Method of Moving Frames},
author = {Thomas A. Ivey},
journal= {arXiv preprint arXiv:2307.16085},
year = {2023}
}
Comments
Based on a talk at the "Symmetry, Invariants, and their Applications" conference in 2022, in honor of Peter Olver's 70th birthday