Irreducible Riemannian manifold

From Diffgeom
Revision as of 11:56, 18 July 2007 by Vipul (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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

Definition

A Riemannian manifold is said to be irreducible if no finite cover of it can be expressed (in the isometric sense) as a direct product of manifolds of smaller dimensions.