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Research Article · Free to read · Published 31 March 2010

Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime

Paul Bracken

Journal of Mathematics and Statistics, Volume 6, Issue 1, pp. 56–59 · doi.org/10.3844/jmssp.2010.56.59

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Abstract

The moving frame and associated Gauss-Codazzi equations for surfaces in Minkowski three space are introduced. A split-quaternionic representation is used to identify the Gauss-Weingarten equations with a Lax pair representation. This Lax pair representaion is calculated and given explicitly.

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Bracken, P. (2010). Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime. Journal of Mathematics and Statistics, 6(1), 56–59. https://doi.org/10.3844/jmssp.2010.56.59

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Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski SpacetimeJournal of Mathematics and Statistics · Volume 6, Issue 1 · pp. 56–59 · © Science PublicationsDownload