Geometry and Mechanics
Submitted by Xiaobo Liu on Tue, 2011-12-20 00:54.
The following are two papers on the geometric formulation of classical mechanics. This is a follow up to some recent posting on iMechanica, as well as an attempt to bring about further discussion on the relationship and interaction between differential geometry and classical mechanics.
http://www.springerlink.com/content/t8707v6153351383/
http://www.springerlink.com/content/2rv8m7tnu2642487/
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Re: Geometry and Mechanics
Dear Xiaobo:
Thanks for posting these links. Have you looked at the works of Anthony Bloch (University of Michigan) and Tudor Ratiu (EPFL)?
Regards,
Arash
Re: Geometry and Mechanics
Dear Arash,
Thanks for your interests. Yes, I am familiar with the works of Bloch and Ratiu, and of course those of Jerry Marsden.
Xiaobo