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. 140. ISBN 9781786340986. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)
PDF
 Preprint
Restricted to Repository staff only 

Contact us about this Publication
Download (473kB)


Official URL http://www.worldscientific.com/worldscibooks/10.11... 
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) 
 Export to:
 RefWorks
 EPrints3 XML
 BibTeX
 CSV
 Depositors only (login required):