On formality of generalized symmetric spaces

By D. Kotschick, Svjetlana Terzić. Mathematical Proceedings of the Cambridge Philosophical Society, 2001

50 citations recorded by the source corpus.

We prove that all generalized 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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/06e0e7ef350d34e44a1abf07f81b05d07dbdf016