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Applications of Poisson geometry to physical problems
Darryl D Holm
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Geometry & Topology Monographs 17
(2011) 221–384
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Abstract
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These being lecture notes for a summer school, one should not seek original material
in them. Rather, the most one could hope to find would be the insight arising from
incorporating a unified approach (based on reduction by symmetry of Hamilton’s
principle) with some novel applications. I hope the reader will find insight in the
lecture notes, which are meant to be informal, more like stepping stones than a
proper path.
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Keywords
geometric mechanics, Lie group invariant
variational principles, Camassa–Holm equation
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Mathematical Subject Classification
Primary: 37K05, 53Z05, 70S05
Secondary: 37K10, 37K65, 70S10
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Publication
Received: 18 May 2010
Accepted: 19 May 2010
Published: 20 April 2011
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