Distance geometry and geometric algebra

Dress A, Havel TF (1993)
Foundations of Physics 23(10): 1357-1374.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Dress, AndreasUniBi; Havel, Timothy F.
Abstract / Bemerkung
As part of his program to unify linear algebra and geometry using the language of Clifford algebra, David Hestenes has constructed a (well-known) isomorphism between the conformal group and the orthogonal group of a space two dimensions higher, thus obtaining homogeneous coordinates for conformal geometry.((1)) In this paper we show that this construction is the Clifford algebra analogue of a hyperbolic model of Euclidean geometry that has actually been known since Bolyai, Lobachevsky, and Gauss, and we explore its wider invariant theoretic implications. In particular, we show that the Euclidean distance function has a very simple representation in this model, as demonstrated by J. J. Seidel((18)).
Erscheinungsjahr
1993
Zeitschriftentitel
Foundations of Physics
Band
23
Ausgabe
10
Seite(n)
1357-1374
ISSN
0015-9018
Page URI
https://pub.uni-bielefeld.de/record/1644803

Zitieren

Dress A, Havel TF. Distance geometry and geometric algebra. Foundations of Physics . 1993;23(10):1357-1374.
Dress, A., & Havel, T. F. (1993). Distance geometry and geometric algebra. Foundations of Physics , 23(10), 1357-1374. https://doi.org/10.1007/BF01883783
Dress, A., and Havel, T. F. (1993). Distance geometry and geometric algebra. Foundations of Physics 23, 1357-1374.
Dress, A., & Havel, T.F., 1993. Distance geometry and geometric algebra. Foundations of Physics , 23(10), p 1357-1374.
A. Dress and T.F. Havel, “Distance geometry and geometric algebra”, Foundations of Physics , vol. 23, 1993, pp. 1357-1374.
Dress, A., Havel, T.F.: Distance geometry and geometric algebra. Foundations of Physics . 23, 1357-1374 (1993).
Dress, Andreas, and Havel, Timothy F. “Distance geometry and geometric algebra”. Foundations of Physics 23.10 (1993): 1357-1374.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Suchen in

Google Scholar