Twistor Theory for Riemannian Symmetric Spaces : With Applications to Harmonic Maps of Riemann Surfaces
In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Ri...
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| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1424 |
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Twistor theory for Riemannian symmetric spaces, with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley, Berlin, Springer, 1990, 1 vol. (112 p.), Lecture notes in mathematics, 3-540-52602-1 • Twistor Theory for Riemannian Symmetric Spaces, Texte imprimé, 9783662186916 |
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| 100 | 1 | |a Burstall, Francis E., |d 1956-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Twistor Theory for Riemannian Symmetric Spaces : |b With Applications to Harmonic Maps of Riemann Surfaces |c Francis E. Burstall, John H. Rawnsley. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1424 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Homogeneous geometry -- Harmonic maps and twistor spaces -- Symmetric spaces -- Flag manifolds -- The twistor space of a Riemannian symmetric space -- Twistor lifts over Riemannian symmetric spaces -- Stable Harmonic 2-spheres -- Factorisation of harmonic spheres in Lie groups. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds. | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Espaces symétriques | ||
| 650 | |a Variétés (mathématiques) | ||
| 650 | |a Applications harmoniques | ||
| 650 | |a Théorie des torseurs | ||
| 650 | |a Groupes topologiques | ||
| 700 | 1 | |a Rawnsley, John H., |d 1947- |4 aut | |
| 776 | 0 | |0 021518653 |t Twistor theory for Riemannian symmetric spaces |o with applications to harmonic maps of Riemann surfaces |f Francis E. Burstall, John H. Rawnsley |c Berlin |n Springer |d 1990 |p 1 vol. (112 p.) |s Lecture notes in mathematics |z 3-540-52602-1 | |
| 776 | 0 | |t Twistor Theory for Riemannian Symmetric Spaces |b Texte imprimé |z 9783662186916 | |
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| 856 | 4 | |5 180339901:753988801 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0095561 |z Accès INSA CVL | |
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