Nonperiodic leaves of codimension one foliations
Abstract
In this work we exhibit examples of 5-manifolds that are not homeomorphic to any leaf of any C2 codimension one foliation of any compact 6-manifold but are homeomorphic to (proper) leaves of some C1 codimension one foliations and also to (proper) leaves of some C∈f codimension 2 foliations. As far as we know, this is the first example of this nature. In addition, it is shown examples of Cr codimension one foliations, r∈[0,2), with a minimal invariant set whose leaves are pairwise nonhomeomorphic.
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