On formality of generalized symmetric spaces

D. KOTSCHICK; S. TERZIĆ

doi:10.1017/S0305004102006540

Abstract

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.

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On formality of generalized symmetric spaces

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