TY  - BOOK
AU  - Guest,Martin A.
TI  - Harmonic maps, loop groups, and integrable systems
T2  - London Mathematical Society student texts
SN  - 9781139174848 (ebook)
AV  - QA614.73 .G84 1997
U1  - 514/.74 20
PY  - 1997///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Harmonic maps
KW  - Loops (Group theory)
KW  - Differential equations
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists
UR  - https://doi.org/10.1017/CBO9781139174848
ER  -