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Generalized symmetric spaces and minimal models

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Dumańska-Małyszko A., Stępień Z., Tralle A.

Annales Polonici Mathematici

1996

tom 64

nr 1

17-35

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Dumańska-Małyszko A.

1 Stępień Z.

1 Tralle A.

1 1996

Wyniki wyszukiwania

Generalized symmetric spaces and minimal models