The hyperKähler geometry associated to Wolf spaces
Kobak, Piotr ; Swann, Andrew
Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 587-595 / Harvested from Biblioteca Digitale Italiana di Matematica
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Sia G un grupo di Lie compatto e semplice. Sia Omin la più piccola orbita nilpotente non-banale nell'algebra di Lie complessa gC. Si presenta una costruzione diretta di teoria di Lie delle metriche iperKahler su Omin con potenziale Kahleriano G-invariante e compatibili con la forma simplettica complessa di Kostant-Kirillov-Souriau. In particolare si ottengono le metriche iperKahler dei fibrati associati sugli spazi di Wolf (spazi simmetrici quaternionali a curvatura scalare positiva).

Publié le : 2001-10-01
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     author = {Piotr Kobak and Andrew Swann},
     title = {The hyperK\"ahler geometry associated to Wolf spaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4-A},
     year = {2001},
     pages = {587-595},
     zbl = {1182.53041},
     mrnumber = {1859424},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_587_0}
}

Kobak, Piotr; Swann, Andrew. The hyperKähler geometry associated to Wolf spaces. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 587-595. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_587_0/

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