Classification of positive quaternion-Kähler 12-manifolds
[Classification de variétés Kähleriennes quaternioniques positives de dimension 12]
Herrera, Haydeé1 ; Herrera, Rafael2
1 Department of Mathematics, Tufts University, Medford, MA 02155, USA
2 Department of Mathematics, University of California, Riverside, CA 92521, USA
Comptes Rendus. Mathématique, Tome 334 (2002) no. 1, pp. 43-46.

Dans cette Note, nous démontrons que les variétés complètes Kähleriennes quaternioniques de courbure scalaire positive et de dimension 12 appartiennent à la liste d'espaces symétriques donnée par Wolf [12].

We prove that the 12-dimensional complete quaternion-Kähler manifolds with positive scalar curvature belong to the list of symmetric spaces given by Wolf [12].

Reçu le :
Accepté le :
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DOI : 10.1016/S1631-073X(02)02209-4
Herrera, Haydeé 1 ; Herrera, Rafael 2

1 Department of Mathematics, Tufts University, Medford, MA 02155, USA
2 Department of Mathematics, University of California, Riverside, CA 92521, USA 
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Herrera, Haydeé; Herrera, Rafael. Classification of positive quaternion-Kähler $ \mathrm{12}$-manifolds. Comptes Rendus. Mathématique, Tome 334 (2002) no. 1, pp. 43-46. doi : 10.1016/S1631-073X(02)02209-4. http://www.numdam.org/articles/10.1016/S1631-073X(02)02209-4/

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