Quadratures and cubics in SO(3) and SO(1,2)

Lyle Noakes; Tomasz Popiel

doi:10.1093/imamci/dni069

Quadratures and cubics in SO(3) and SO(1,2)

Lyle Noakes, Tomasz Popiel

Research output: Contribution to journal › Article › Research › peer-review

16 Citations (Scopus)

Abstract

We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.

Original language	English
Pages (from-to)	463-473
Number of pages	11
Journal	IMA Journal of Mathematical Control and Information
Volume	23
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dni069
Publication status	Published - Dec 2006
Externally published	Yes

Keywords

Elastic curve
Elastica
Lax equation
Quadrature
Riemannian cubic
Riemannian cubic in tension

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10.1093/imamci/dni069

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title = "Quadratures and cubics in SO(3) and SO(1,2)",

abstract = "We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.",

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AU - Popiel, Tomasz

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KW - Elastica

KW - Lax equation

KW - Quadrature

KW - Riemannian cubic

KW - Riemannian cubic in tension

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JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 4

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Quadratures and cubics in SO(3) and SO(1,2)

Abstract

Keywords

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