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

Tomasz Popiel; Lyle Noakes

doi:10.1093/imamci/dni069

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

Tomasz Popiel, Lyle Noakes

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

14 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
Journal	IMA Journal of Mathematical Control and Information
Volume	23
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dni069
Publication status	Published - 2006

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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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DO - 10.1093/imamci/dni069

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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

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