Minimal leaves in foliations
Author: Daniel M. Cass
Journal: Trans. Amer. Math. Soc. 287 (1985), 201-213
MSC: Primary 57R30; Secondary 53C12
MathSciNet review: 766214
Abstract: The paper defines a property of open Riemannian manifolds, called quasi-homogeneity. This property is quasi-isometry invariant and is shown to hold for any manifold which appears as a minimal leaf in a foliation. Examples are given of surfaces which are not quasi-homogeneous. One such is the well-known noncompact leaf of Reeb's foliation of . These surfaces have bounded geometry.
Keywords: Dilation, quasi-isometry class, minimal set of leaves, recurrent
Article copyright: © Copyright 1985 American Mathematical Society