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Abstract
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We show that if
is a codimension-one lamination in a finite volume hyperbolic
–manifold
such that the principal curvatures of each leaf of
are all in the
interval
for
a fixed
with
and no complementary
region of
is an interval bundle over a surface, then each boundary leaf of
has a
nontrivial fundamental group. We also prove existence of a fixed constant
such
that if
is a codimension-one lamination in a finite volume hyperbolic
–manifold
such that the principal curvatures of each leaf of
are all in the interval
and no complementary
region of
is an interval bundle over a surface, then each boundary leaf of
has a
noncyclic fundamental group.
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Keywords
hyperbolic manifold, lamination
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Mathematical Subject Classification 2000
Primary: 57M50
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Publication
Received: 9 February 2009
Revised: 6 March 2009
Accepted: 8 March 2009
Published: 20 April 2009
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