# On the modern notion of a moving frame

Mansfield, Elizabeth L. and Zhao, Jun (2011) On the modern notion of a moving frame. In: Dorst, Leo and Lasenby, Joan, eds. Guide to Geometric Algebra in Practice. Springer, London, pp. 411-434. ISBN 978-0-85729-810-2. (doi:10.1007/978-0-85729-811-9_20) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31675)

 The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. Official URLhttp://dx.doi.org/10.1007/978-0-85729-811-9_20

## Abstract

A tutorial on the modern definition and application of moving frames, with a variety

of examples and exercises, is given. We show three types of invariants; differential, joint,

and integral, and the running example is the linear action of $SL(2)$ on smooth surfaces, on

sets of points in the plane, and path integrals over curves in the plane.

We also give details of moving frames for the group of rotations and translations acting

on smooth curves, and on discrete sets of points, in the conformal geometric algebra.

Item Type: Book section 10.1007/978-0-85729-811-9_20 Q Science > QA Mathematics (inc Computing science) > QA440 Geometry Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science Elizabeth Mansfield 15 Oct 2012 09:06 UTC 16 Nov 2021 10:09 UTC https://kar.kent.ac.uk/id/eprint/31675 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-6778-2241