Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $4k-1$ and more

@article{Dranishnikov2003ExamplesON,
  title={Examples of non-formal closed \$(k-1)\$-connected manifolds of dimensions \$4k-1\$ and more},
  author={Alexander Dranishnikov and Yuli B. Rudyak},
  journal={arXiv: Algebraic Topology},
  year={2003}
}
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 $H^{3k-1}(M;\Q)$ is generated by Massey products: such examples are useful for theory of systols. 
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18 Citations
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18 Citations

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