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 URL: http://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
DOI/Identification number:	10.1007/978-0-85729-811-9_20
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Elizabeth Mansfield
Date Deposited:	15 Oct 2012 09:06 UTC
Last Modified:	05 Nov 2024 10:14 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/31675 (The current URI for this page, for reference purposes)

University of Kent Author Information

Mansfield, Elizabeth L..

Creator's ORCID:	https://orcid.org/0000-0002-6778-2241
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