Geodesic
HYPERKÄHLER STRUCTURES WITH TORSION ON NILPOTENT LIE GROUPS
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 189-198

Voir la notice de l'article provenant de la source Cambridge University Press

Using the classification by Dotti and Fino [3] we show the existence of an HKT metric on a neighbourhood of the centre of any 8-dimensional nilpotent Lie group $G$ with invariant hypercomplex structure. This metric exists globally if the hypercomplex structure is abelian, and in these cases we construct an HKT structure on a neighbourhood of the zero section of the cotangent bundle $T^{*}G$ extending the HKT metric on $G$.
DOI : 10.1017/S0017089502001155
Mots-clés : 22E25 
FEIX, BIRTE; PEDERSEN, HENRIK. HYPERKÄHLER STRUCTURES WITH TORSION ON NILPOTENT LIE GROUPS. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 189-198. doi: 10.1017/S0017089502001155
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     title = {HYPERK\"AHLER {STRUCTURES} {WITH} {TORSION} {ON} {NILPOTENT} {LIE} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {189--198},
     year = {2003},
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     doi = {10.1017/S0017089502001155},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502001155/}
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