# Open Riemannian manifold

*This article defines a property that makes sense for a Riemannian metric over a differential manifold*

## Definition

A Riemannian manifold is said to be **open'** if it is not compact.

*This article defines a property that makes sense for a Riemannian metric over a differential manifold*

A Riemannian manifold is said to be **open'** if it is not compact.