On formality of generalised symmetric spaces
Abstract
Description
We prove that all generalised symmetric spaces of compact simple Lie groups are formal in the sense of Sullivan. Nevertheless, many of them, including all the non-symmetric flag manifolds, do not admit Riemannian metrics for which all products of harmonic forms are harmonic.
18 pages; minor corrections; to appear in Mathematical Proceedings of the Cambridge Philosophical Society
18 pages; minor corrections; to appear in Mathematical Proceedings of the Cambridge Philosophical Society