# Elliptization conjecture

*This article makes a prediction about the universal cover of a manifold based on given data at the level of a:*topological manifold

*This result is about manifolds in dimension:*3

## Contents

## Statement

### Verbal statement

Any closed 3-manifold with finite fundamental group is spherical, viz it has a Riemannian metirc with positive sectional curvature (or equivalently, its universal cover is the 3-sphere).

## Relation with other results

### Weaker results

- Poincare conjecture: In the particular case that the fundamental group is trivial, this actually tells us that the manifold is homeomorphic to the 3-sphere