%0 Book Section %T The Geography of Non-Formal Manifolds publisher SpringerLink %D 2005 %U 978-0-8176-3850-4 %@ https://hdl.handle.net/20.500.14352/53236 %X We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ≥ 0 if and only if n ≥ 3 and b ≥ 2, or n ≥ (7 − 2b) and 0 ≤ b ≤ 2. Moreover, we present explicit examples for each one of these cases. %~