Realizations of the Conformal Group

Jose Maria Pozo and Garret Sobczyk

Chapter Chapter 3 in Geometric Algebra with Applications in Science and Engineering, 2001, pp 42-60 from Springer

Abstract: Abstract Perhaps one of the first to consider the problems of projective geometry was Leonardo da Vinci (1452-1519). However, projective geometry as a self-contained discipline was not developed until the work “Traite des propriés projectives des figure” of the French mathematician Poncelet (1788-1867), published in 1822. The extrordinary generality and simplicity of projective geometry led the English mathematician Cayley to exclaim: “Projective Geometry is all of geometry” [ 16 ]. D. Hestenes in [ 8 ] showed how the methods of projective geometry, formulated in geometric algebra, can be effectively used to study basic properties of the conformal group. The purpose of this article is to further explore the deep relationships that exist beween projective geometry and the conformal group.

Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0159-5_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461201595

DOI: 10.1007/978-1-4612-0159-5_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().