# Tagged Questions

**14**

votes

**1**answer

395 views

### Are there geometrically formal manifolds, which are not rationally elliptic?

Formality of a space is meant in the sense of Sullivan, i.e. a space $X$ is called formal, if it's commutative differential graded algebra of piecewise linear differential forms $(A_{PL}(X),d)$ is ...

**8**

votes

**1**answer

397 views

### rational homotopy of a manifold

Given a finite dim rational homotopy type satisfying PoincarĂ© duality,
what is the best reference to when it is the rational homotopy type of a fin dim manifold?