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Spaces Which Are Not Negatively Curved
 Comm. in Anal. and Geom
, 1997
"... this paper will be 2dimensional. Definition of a lamination ..."
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Cited by 11 (6 self)
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this paper will be 2dimensional. Definition of a lamination
Hyperbolic geometry
 In Flavors of geometry
, 1997
"... 3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65 ..."
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Cited by 11 (0 self)
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3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65
Boundary curves of surfaces with the 4plane property
 Geom. Topol
"... Let M be an orientable and irreducible 3–manifold whose boundary is an incompressible torus. Suppose that M does not contain any closed nonperipheral embedded incompressible surfaces. We will show in this paper that the immersed surfaces in M with the 4–plane property can realize only finitely many ..."
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Cited by 6 (4 self)
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Let M be an orientable and irreducible 3–manifold whose boundary is an incompressible torus. Suppose that M does not contain any closed nonperipheral embedded incompressible surfaces. We will show in this paper that the immersed surfaces in M with the 4–plane property can realize only finitely many boundary slopes. Moreover, we will show that only finitely many Dehn fillings of M can yield 3–manifolds with nonpositive cubings. This gives the first examples of hyperbolic 3–manifolds that cannot admit any nonpositive cubings.
Problems around 3–manifolds J
"... This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral ..."
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Cited by 1 (0 self)
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This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral
EXPANSION COMPLEXES FOR FINITE SUBDIVISION
"... Abstract. This paper develops the basic theory of conformal structures on finite subdivision rules. The work depends heavily on the use of expansion complexes, which are defined and discussed in detail. It is proved that a finite subdivision rule with bounded valence and mesh approaching 0 is confor ..."
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Abstract. This paper develops the basic theory of conformal structures on finite subdivision rules. The work depends heavily on the use of expansion complexes, which are defined and discussed in detail. It is proved that a finite subdivision rule with bounded valence and mesh approaching 0 is conformal (in the combinatorial sense) if there is a conformal structure on the model subdivision complex with respect to which the subdivision map is conformal. This gives a new approach to the difficult combinatorial problem of determining when a finite subdivision rule is conformal. 1.