Generalized symmetric spaces and minimal models
Tom 64 / 1996
Annales Polonici Mathematici 64 (1996), 17-35
DOI: 10.4064/ap-64-1-17-35
Streszczenie
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.
