Survey on real forms of the complex A2(2)-Toda equation and surface theory

The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop parameter. As a matter of fact, the same result hol...

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Autores principales:	Dorfmeister Josef F., Freyn Walter, Kobayashi Shimpei, Wang Erxiao
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	minimal lagrangian surfaces affine spheres loop groups real forms tzitzéica equations primary 53a10 53b30 58d10 secondary 53c42 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bed39c917e9f43cd9870c4b38b11970c
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id	oai:doaj.org-article:bed39c917e9f43cd9870c4b38b11970c
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spelling	oai:doaj.org-article:bed39c917e9f43cd9870c4b38b11970c2021-12-02T17:14:47ZSurvey on real forms of the complex A2(2)-Toda equation and surface theory2300-744310.1515/coma-2019-0011https://doaj.org/article/bed39c917e9f43cd9870c4b38b11970c2019-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0011https://doaj.org/toc/2300-7443The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop parameter. As a matter of fact, the same result holds for k-symmetric spaces over reductive Lie groups, [8].Dorfmeister Josef F.Freyn WalterKobayashi ShimpeiWang ErxiaoDe Gruyterarticleminimal lagrangian surfacesaffine spheresloop groupsreal formstzitzéica equationsprimary 53a1053b3058d10secondary 53c42MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 194-227 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	minimal lagrangian surfaces affine spheres loop groups real forms tzitzéica equations primary 53a10 53b30 58d10 secondary 53c42 Mathematics QA1-939
spellingShingle	minimal lagrangian surfaces affine spheres loop groups real forms tzitzéica equations primary 53a10 53b30 58d10 secondary 53c42 Mathematics QA1-939 Dorfmeister Josef F. Freyn Walter Kobayashi Shimpei Wang Erxiao Survey on real forms of the complex A2(2)-Toda equation and surface theory
description	The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop parameter. As a matter of fact, the same result holds for k-symmetric spaces over reductive Lie groups, [8].
format	article
author	Dorfmeister Josef F. Freyn Walter Kobayashi Shimpei Wang Erxiao
author_facet	Dorfmeister Josef F. Freyn Walter Kobayashi Shimpei Wang Erxiao
author_sort	Dorfmeister Josef F.
title	Survey on real forms of the complex A2(2)-Toda equation and surface theory
title_short	Survey on real forms of the complex A2(2)-Toda equation and surface theory
title_full	Survey on real forms of the complex A2(2)-Toda equation and surface theory
title_fullStr	Survey on real forms of the complex A2(2)-Toda equation and surface theory
title_full_unstemmed	Survey on real forms of the complex A2(2)-Toda equation and surface theory
title_sort	survey on real forms of the complex a2(2)-toda equation and surface theory
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/bed39c917e9f43cd9870c4b38b11970c
work_keys_str_mv	AT dorfmeisterjoseff surveyonrealformsofthecomplexa22todaequationandsurfacetheory AT freynwalter surveyonrealformsofthecomplexa22todaequationandsurfacetheory AT kobayashishimpei surveyonrealformsofthecomplexa22todaequationandsurfacetheory AT wangerxiao surveyonrealformsofthecomplexa22todaequationandsurfacetheory
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Survey on real forms of the complex A2(2)-Toda equation and surface theory

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