Geodesic
The hyperKähler geometry associated to Wolf spaces
Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 587-595.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Sia $G$ un grupo di Lie compatto e semplice. Sia $\mathcal{O}_{\text{min}}$ la più piccola orbita nilpotente non-banale nell'algebra di Lie complessa $g^{\mathbb{C}}$. Si presenta una costruzione diretta di teoria di Lie delle metriche iperKahler su $\mathcal{O}_{\text{min}}$ 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). 
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Kobak, Piotr; Swann, Andrew. The hyperKähler geometry associated to Wolf spaces. Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 587-595. http://geodesic.mathdoc.fr/item/BUMI_2001_8_4B_3_a2/

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