Isometry-invariant foliation

From Diffgeom
Revision as of 19:47, 18 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Template:Foliation property

Template:Isometry-invariance property

Definition

Given a differential manifold with a compatible Riemannian metric, a foliation of the differential manifold is said to be isometry-invariant for the Riemannian metric if any isometry with respect to the Riemannian metric permutes the leaves of the foliation.