Volume 17 (2011)

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Applications of Poisson geometry to physical problems

Darryl D Holm

Geometry & Topology Monographs 17 (2011) 221–384

arXiv: 0708.1585

Abstract

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.

Keywords

geometric mechanics, Lie group invariant variational principles, Camassa–Holm equation

Mathematical Subject Classification

Primary: 37K05, 53Z05, 70S05

Secondary: 37K10, 37K65, 70S10

References
Publication

Received: 18 May 2010
Accepted: 19 May 2010
Published: 20 April 2011

Authors
Darryl D Holm
Department of Mathematics and Institute for Mathematical Sciences
Imperial College
London
SW7 2AZ
United Kingdom