The solution on the geography-problem of non-formal compact (almost) contact manifolds

Abstract

Let $(m,b)$ be a pair of natural numbers. For $m$ odd with $m\ge 7$ (resp. $m\ge 5$) and $b=1$ (resp. $b=0$) we show that there is a non-formal compact (almost) contact $m$-manifold with first Betti number $b_1=b$. Moreover, in the case $b=0$ with $m\ge 7$, the manifold even is simply-connected.

ad v8: Theorem 2.2 has been corrected

References in corpus (1)

• On formality of Sasakian manifolds

Cited by in corpus (1)

• Odd-dimensional solvmanifolds are contact