Geodesic
Generalized symmetric spaces and minimal models
Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 17-35.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that any compact simply connected manifold carrying a structure of Riemannian 3- or 4-symmetric space is formal in the sense of Sullivan. This result generalizes Sullivan's classical theorem on the formality of symmetric spaces, but the proof is of a different nature, since for generalized symmetric spaces techniques based on the Hodge theory do not work. We use the Thomas theory of minimal models of fibrations and the classification of 3- and 4-symmetric spaces.
DOI : 10.4064/ap-64-1-17-35
Keywords: minimal model, Koszul complex, generalized symmetric space

Anna Dumańska-Małyszko 1 ; Zofia Stępień 1 ; Aleksy Tralle 1

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Anna Dumańska-Małyszko; Zofia Stępień; Aleksy Tralle. Generalized symmetric spaces and minimal models. Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 17-35. doi : 10.4064/ap-64-1-17-35. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-1-17-35/

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