Geodesics and connexions on matrix Lie groups (2015 ed.)

J. Graaf, de

Geodesics and connexions on matrix Lie groups (2015 ed.)

J. Graaf, de

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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 Differential Geometry'. The only prerequisites are some skill in 'Calculus in IRn' and 'Elementary Linear Algebra'. The text mainly concerns 'Advanced Matrix Theory'. It could be useful for numerical calculations. In this new (2015)-edition the proofs in Ch. 5-7 have been somewhat extended. Also some alternative viewpoints have been added there.

Original language	English
Place of Publication	Eindhoven
Publisher	Technische Universiteit Eindhoven
Number of pages	40
Publication status	Published - 2015

Publication series

Name	CASA-report
Volume	1521
ISSN (Print)	0926-4507

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Geodesics and connexions on matrix Lie groups (2015 ed.)

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