000 02126nam a22003858i 4500
001 CR9781139174848
003 UkCbUP
005 20200124160224.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1997||||enk o ||1 0|eng|d
020 _a9781139174848 (ebook)
020 _z9780521580854 (hardback)
020 _z9780521589321 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.73
_b.G84 1997
082 0 0 _a514/.74
_220
100 1 _aGuest, Martin A.,
_eauthor.
245 1 0 _aHarmonic maps, loop groups, and integrable systems /
_cMartin A. Guest.
246 3 _aHarmonic Maps, Loop Groups, & Integrable Systems
264 1 _aCambridge :
_bCambridge University Press,
_c1997.
300 _a1 online resource (xiii, 194 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v38
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aHarmonic 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.
650 0 _aHarmonic maps.
650 0 _aLoops (Group theory)
650 0 _aDifferential equations.
776 0 8 _iPrint version:
_z9780521580854
830 0 _aLondon Mathematical Society student texts ;
_v38.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139174848
999 _c517014
_d517012