Centrodes and Lie algebra

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Selig, JM (2007). Centrodes and Lie algebra. 2th IFT oMM World Congress. Besancon France 18 - 21 Jun 2007 London South Bank University. pp. ? - ? (6)
AuthorsSelig, JM
Abstract

The classical subject of planar kinematics is reviewed in the setting of Lie algebra and differential geometry. In particular, the classical centrode curves of a rigid motion are related to the derivatives in the Lie algebra. The classical subject of planar kinematics is reviewed in the setting of Lie algebra and differential geometry. In particular, the classical centrode curves of a rigid motion are related to the derivatives in the Lie algebra. Several examples of finding centrode curves in different situations are given. The case where a rigid motion is determined by one curve rolling on another is studied in some detail.

Year2007
PublisherLondon South Bank University
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