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].
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@article{CRMATH_2002__334_1_43_0, author = {Herrera, Hayde\'e and Herrera, Rafael}, 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}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02209-4/} }
TY - JOUR AU - Herrera, Haydeé AU - Herrera, Rafael TI - Classification of positive quaternion-Kähler $ \mathrm{12}$-manifolds JO - Comptes Rendus. Mathématique PY - 2002 SP - 43 EP - 46 VL - 334 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02209-4/ DO - 10.1016/S1631-073X(02)02209-4 LA - en ID - CRMATH_2002__334_1_43_0 ER -
%0 Journal Article %A Herrera, Haydeé %A Herrera, Rafael %T Classification of positive quaternion-Kähler $ \mathrm{12}$-manifolds %J Comptes Rendus. Mathématique %D 2002 %P 43-46 %V 334 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02209-4/ %R 10.1016/S1631-073X(02)02209-4 %G en %F CRMATH_2002__334_1_43_0
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://archive.numdam.org/articles/10.1016/S1631-073X(02)02209-4/
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