On formality of generalised symmetric spaces

Details On formality of generalised symmetric spaces On formality of generalised symmetric spaces

2001-06-15

arxiv.org/abs/math/0106135v2

Math. Proc. Cambridge Phil. Soc. 134 (2003), 491--505.

Mathematics

Differential Geometry

18 pages; minor corrections; to appear in Mathematical Proceedings of the Cambridge Philosophical Society

Scientific paper

10.1017/S0305004102006540

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.

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