On formality of generalised symmetric spaces
Differential Geometry
2007-05-23 v2 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0106135,
title = {On formality of generalised symmetric spaces},
author = {D. Kotschick and S. Terzic},
journal= {arXiv preprint arXiv:math/0106135},
year = {2007}
}
Comments
18 pages; minor corrections; to appear in Mathematical Proceedings of the Cambridge Philosophical Society