The Geography of Non-formal Manifolds

Details The Geography of Non-formal Manifolds The Geography of Non-formal Manifolds

2004-04-29

arxiv.org/abs/math/0404527v2

Mathematics

Differential Geometry

8 pages, one reference updated

Scientific paper

We show that there exist non-formal compact oriented manifolds of dimension
$n$ and with first Betti number $b_1=b\geq 0$ if and only if $n\geq 3$ and
$b\geq 2$, or $n\geq (7-2b)$ and $0\leq b\leq 2$. Moreover, we present explicit
examples for each one of these cases.

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