Spinor formulation of the differential geometry of curves

Pubblicato

2004-01-01

Spinor formulation of the differential geometry of curves

Parole chiave:

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

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PDF (English)

Autori

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.

Riferimenti bibliografici

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.

Come citare

APA

Gerardo Francisco e 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 e Guadalupe 2004. Spinor formulation of the differential geometry of curves. Revista Colombiana de Matemáticas. 38, 1 (gen. 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 mar. 2025.

Chicago

Gerardo Francisco, e 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 e Guadalupe (2004) «Spinor formulation of the differential geometry of curves», Revista Colombiana de Matemáticas, 38(1), pagg. 27–34. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/94309 (Consultato: 10 marzo 2025).

IEEE

[1]

Gerardo Francisco e Guadalupe, «Spinor formulation of the differential geometry of curves», rev.colomb.mat, vol. 38, n. 1, pagg. 27–34, gen. 2004.

MLA

Gerardo Francisco, e Guadalupe. «Spinor formulation of the differential geometry of curves». Revista Colombiana de Matemáticas, vol. 38, n. 1, gennaio 2004, pagg. 27-34, https://revistas.unal.edu.co/index.php/recolma/article/view/94309.

Turabian

Gerardo Francisco, e Guadalupe. «Spinor formulation of the differential geometry of curves». Revista Colombiana de Matemáticas 38, no. 1 (gennaio 1, 2004): 27–34. Consultato marzo 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 gennaio 2004 [citato 10 marzo 2025];38(1):27-34. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/94309