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Spinor formulation of the differential geometry of curves
Palabras clave:
Frenet equations, Spinors, 2000 Mathematics Subject Classification, Primary: 55A04. Secondary: 15A66. (en)Descargas
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.
Referencias
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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.
