Examples of non-formal closed (𝑘-1)-connected manifolds of dimensions ≥4𝑘-1

Dranishnikov, Alex; Rudyak, Yuli

doi:10.1090/S0002-9939-04-07639-7

Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $\ge 4k-1$
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by Alex N. Dranishnikov and Yuli B. Rudyak PDF

Proc. Amer. Math. Soc. 133 (2005), 1557-1561 Request permission

Abstract:

We construct closed $(k-1)$-connected manifolds of dimensions $\ge 4k-1$ that possess non-trivial rational Massey triple products. We also construct examples of manifolds $M$ such that all the cup-products of elements of $H^k(M)$ vanish, while the group $H^{3k-1}(M;\mathbb {Q})$ is generated by Massey products: such examples are useful for the theory of systols.

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