Classification of positive quaternion-Kähler $ \mathrm{12}$-manifolds

Haydeé Herrera; Rafael Herrera

doi:10.1016/S1631-073X(02)02209-4

Classification of positive quaternion-Kähler

12

-manifolds
[Classification de variétés Kähleriennes quaternioniques positives de dimension

12

]

Haydeé Herrera ¹ ; Rafael Herrera ²

¹ Department of Mathematics, Tufts University, Medford, MA 02155, USA
² Department of Mathematics, University of California, Riverside, CA 92521, USA

Comptes Rendus. Mathématique, Volume 334 (2002) no. 1, pp. 43-46.

Résumé
Abstract

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 : 2001-10-22
Accepté le : 2001-11-20
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02209-4

Affiliations des auteurs :

Haydeé Herrera ¹ ; Rafael Herrera 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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     author = {Hayde\'e Herrera and Rafael Herrera},
     title = {Classification of positive {quaternion-K\"ahler} $ \mathrm{12}$-manifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {43--46},
     publisher = {Elsevier},
     volume = {334},
     number = {1},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02209-4},
     language = {en},
}

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Haydeé Herrera; Rafael Herrera. Classification of positive quaternion-Kähler $ \mathrm{12}$-manifolds. Comptes Rendus. Mathématique, Volume 334 (2002) no. 1, pp. 43-46. doi : 10.1016/S1631-073X(02)02209-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02209-4/

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