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Harmonic maps, loop groups, and integrable systems

University-level introduction that leads to topics of current research in the theory of harmonic maps.

Detalles Bibliográficos
Autor principal: Guest, Martin A
Lenguaje:eng
Publicado: Cambridge Univ. Press 1997
Materias:
Acceso en línea:http://cds.cern.ch/record/327395
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author Guest, Martin A
author_facet Guest, Martin A
author_sort Guest, Martin A
collection CERN
description University-level introduction that leads to topics of current research in the theory of harmonic maps.
id cern-327395
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
publisher Cambridge Univ. Press
record_format invenio
spelling cern-3273952021-04-22T03:29:41Zhttp://cds.cern.ch/record/327395engGuest, Martin AHarmonic maps, loop groups, and integrable systemsMathematical Physics and MathematicsUniversity-level introduction that leads to topics of current research in the theory of harmonic maps.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 sCambridge Univ. Pressoai:cds.cern.ch:3273951997
spellingShingle Mathematical Physics and Mathematics
Guest, Martin A
Harmonic maps, loop groups, and integrable systems
title Harmonic maps, loop groups, and integrable systems
title_full Harmonic maps, loop groups, and integrable systems
title_fullStr Harmonic maps, loop groups, and integrable systems
title_full_unstemmed Harmonic maps, loop groups, and integrable systems
title_short Harmonic maps, loop groups, and integrable systems
title_sort harmonic maps, loop groups, and integrable systems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/327395
work_keys_str_mv AT guestmartina harmonicmapsloopgroupsandintegrablesystems