Differential Geometry and Mathematical Physics

Hone, Andrew N.W. and Krusch, Steffen (2017) Differential Geometry and Mathematical Physics. In: Analysis and Mathematical Physics. LTCC Advanced Mathematics Series . World Scientific, pp. 1-40. ISBN 978-1-78634-098-6. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

The chapter will illustrate how concepts in differential geometry arise naturally in different areas of mathematical physics. We will describe manifolds, fibre bundles, (co)tangent bundles, metrics and symplectic structures, and their applications to Lagrangian mechanics, field theory and Hamiltonian systems, including various examples related to inte- grable systems and topological solitons.

Item Type: Book section
Projects: [UNSPECIFIED] EPSRC Fellowship EP/M004333/1
[UNSPECIFIED] EPSRC First Grant EP/I034491/1
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Andrew N W Hone
Date Deposited: 30 Jun 2016 16:19 UTC
Last Modified: 08 May 2017 11:58 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/56193 (The current URI for this page, for reference purposes)
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