Publicado

2004-01-01

Spinor formulation of the differential geometry of curves

Palabras clave:

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

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Autores/as

  • Gerardo Francisco Torres del Castillo Universidad Autónoma de Puebla, México
  • Guadalupe Sánchez Barrales Universidad Autónoma de Puebla, México

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.

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Citas

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.

Licencia

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.