Spinor formulation of the differential geometry of curves

Publié-e

2004-01-01

Spinor formulation of the differential geometry of curves

Mots-clés :

Frenet equations, Spinors, 2000 Mathematics Subject Classification, Primary: 55A04. Secondary: 15A66. (en)

Téléchargements

PDF (English)

Auteurs-es

Universidad Autónoma de Puebla, México
Universidad Autónoma de Puebla, México

Résumé (en)

Abstract. It is shown that the Frenet equations for curves in R³ can be reduced to a single equation for a vector with two complex components and some examples of the usefulness of this representation are given.

Références

E. CARTAN, The theory of spinors, Hermann, Paris, 1966. (Dover, New York, reprinted 1981.)

W. T. PAYNE, Elementary spinor theory, Am. J. of Phys. 20 (1952) 253.

G. F. Torres del Castillo, 3-D Spinors, Spin-Weighted Functions and their Applications, Birkhâuser, Boston, 2003.

D. H. Sattinger &: O. L. Weaver, Lie Groups and Algebras with Applications to Physics, Geometry and Mechanics, Springer-Verlag, New York, 1986.

H. Goldstein, Classical mechanics, 2nd ed., Addison-Wesley, Reading, Mass., 1980.

B. O ’Neill, Elementary differential geometry, 2nd ed., Academic Press, San Diego, 1997.

J. Oprea, Differential geometry and its applications, Prentice-Hall, Upper Saddle River, N. J., 1997.

Comment citer

APA

Gerardo Francisco et Guadalupe. (2004). Spinor formulation of the differential geometry of curves. Revista Colombiana de Matemáticas, 38(1), 27–34. https://revistas.unal.edu.co/index.php/recolma/article/view/94309

ACM

[1]

Gerardo Francisco et Guadalupe 2004. Spinor formulation of the differential geometry of curves. Revista Colombiana de Matemáticas. 38, 1 (janv. 2004), 27–34.

ACS

(1)

Gerardo Francisco; Guadalupe. Spinor formulation of the differential geometry of curves. rev.colomb.mat 2004, 38, 27-34.

ABNT

GERARDO FRANCISCO; GUADALUPE. Spinor formulation of the differential geometry of curves. Revista Colombiana de Matemáticas, [S. l.], v. 38, n. 1, p. 27–34, 2004. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94309. Acesso em: 10 mars. 2025.

Chicago

Gerardo Francisco, et Guadalupe. 2004. « Spinor formulation of the differential geometry of curves ». Revista Colombiana De Matemáticas 38 (1):27-34. https://revistas.unal.edu.co/index.php/recolma/article/view/94309.

Harvard

Gerardo Francisco et Guadalupe (2004) « Spinor formulation of the differential geometry of curves », Revista Colombiana de Matemáticas, 38(1), p. 27–34. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/94309 (Consulté le: 10 mars 2025).

IEEE

[1]

Gerardo Francisco et Guadalupe, « Spinor formulation of the differential geometry of curves », rev.colomb.mat, vol. 38, nᵒ 1, p. 27–34, janv. 2004.

MLA

Gerardo Francisco, et Guadalupe. « Spinor formulation of the differential geometry of curves ». Revista Colombiana de Matemáticas, vol. 38, nᵒ 1, janvier 2004, p. 27-34, https://revistas.unal.edu.co/index.php/recolma/article/view/94309.

Turabian

Gerardo Francisco, et Guadalupe. « Spinor formulation of the differential geometry of curves ». Revista Colombiana de Matemáticas 38, no. 1 (janvier 1, 2004): 27–34. Consulté le mars 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94309.

Vancouver

1.

Gerardo Francisco, Guadalupe. Spinor formulation of the differential geometry of curves. rev.colomb.mat [Internet]. 1 janv. 2004 [cité 10 mars 2025];38(1):27-34. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/94309