The rank of the fundamental group of certain hyperbolic 3–manifolds fibering over the circle [PDF]
Juan Souto
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Dehn filling hyperbolic 3-manifolds [PDF]
Define a complete family of parent (ancestor) manifolds to be a set of compact 3-manifolds such that every closed orientable 3-manifold can be obtained by one (or more) Dehn fillings of the manifolds in the family. In 1983, R. Myers proved that the set of 1-cusped hyperbolic 3-manifolds is a complete family of parent manifolds.
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A Bahri-Brezis type problem on asymptotically hyperbolic manifolds [PDF]
Mohammed Aldawood
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Manifold spines and hyperbolicity equations
The authors present a combinatorial representaion of gluing 3-manifolds and their special spines. This is done using graphs encoded by \(\gamma\)-tuples of non-negative integers. More precisely, they use the result of Casler which states that two 3-manifolds with homeomorphic special spines are homeomorphic.
RUINI, Beatrice, SPAGGIARI, Fulvia
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Dynamics of asymptotically hyperbolic manifolds [PDF]
Two preliminary lemmas included to elucidate some estimates and details. Remainder terms in theorems, corollaries, and some estimates clarified.
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Exponential growth of torsion in the cohomology of arithmetic hyperbolic\n manifolds [PDF]
Werner Mueller, Frédéric Rochon
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Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.
Xiaoping Yuan
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Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds [PDF]
Paola Cristofori +3 more
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Ideal simplices and double-simplices, their non-orientable hyperbolic manifolds, cone manifolds and orbifolds with Dehn type surgeries and graphic analysis [PDF]
E. Molnár, István Prok, Jenő Szirmai
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Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications [PDF]
Yannick Sire +3 more
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