Geodesics and connexions on matrix Lie groups

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Abstract

These notes present some elementary considerations on Geodesics and Connexions on Matrix Lie Groups. As motivating examples two sections with special attention to the mechanics of solid bodies are included. This text is originally intended as and grew out of an Appendix to my Lecture Notes on ’Tensor Calculus and Di¿erential Geometry’. The only prerequisites are some skill in ’Calculus in R^n’ and ’Elementary Linear Algebra’. The text mainly concerns ’Advanced Matrix Theory’. It could be useful for numerical calculations.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages38
Publication statusPublished - 2013

Publication series

NameCASA-report
Volume1305
ISSN (Print)0926-4507

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  • Cite this

    Graaf, de, J. (2013). Geodesics and connexions on matrix Lie groups. (CASA-report; Vol. 1305). Technische Universiteit Eindhoven.