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. (doi:10.1007/978-94-024-0959-8) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:56193)
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| Official URL: http://www.worldscientific.com/worldscibooks/10.11... |
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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 |
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| DOI/Identification number: | 10.1007/978-94-024-0959-8 |
| Projects: | EPSRC Fellowship EP/M004333/1, 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: |
Organisations -1 not found. Organisations -1 not found. |
| Depositing User: | Andrew Hone |
| Date Deposited: | 30 Jun 2016 16:19 UTC |
| Last Modified: | 09 Mar 2023 11:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/56193 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Hone, Andrew N.W..
| Creator's ORCID: |
 https://orcid.org/0000-0001-9780-7369
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| CReDIT Contributor Roles: |
Krusch, Steffen.
| Creator's ORCID: |
https://orcid.org/0000-0003-3126-8635
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| CReDIT Contributor Roles: |
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