Spinor formulation of the differential geometry of curves

Veröffentlicht

2004-01-01

Spinor formulation of the differential geometry of curves

Schlagworte:

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

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Autor/innen

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

Abstract (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.

Literaturhinweise

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.

Zitationsvorschlag

APA

Gerardo Francisco und 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 und Guadalupe 2004. Spinor formulation of the differential geometry of curves. Revista Colombiana de Matemáticas. 38, 1 (Jan. 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 märz. 2025.

Chicago

Gerardo Francisco, und 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 und Guadalupe (2004) „Spinor formulation of the differential geometry of curves“, Revista Colombiana de Matemáticas, 38(1), S. 27–34. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94309 (Zugegriffen: 10 März 2025).

IEEE

[1]

Gerardo Francisco und Guadalupe, „Spinor formulation of the differential geometry of curves“, rev.colomb.mat, Bd. 38, Nr. 1, S. 27–34, Jan. 2004.

MLA

Gerardo Francisco, und Guadalupe. „Spinor formulation of the differential geometry of curves“. Revista Colombiana de Matemáticas, Bd. 38, Nr. 1, Januar 2004, S. 27-34, https://revistas.unal.edu.co/index.php/recolma/article/view/94309.

Turabian

Gerardo Francisco, und Guadalupe. „Spinor formulation of the differential geometry of curves“. Revista Colombiana de Matemáticas 38, no. 1 (Januar 1, 2004): 27–34. Zugegriffen März 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. Januar 2004 [zitiert 10. März 2025];38(1):27-34. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94309