Hyperbolic four-manifolds with one cusp
نویسندگان
چکیده
منابع مشابه
Hyperbolic Four-manifolds with One Cusp
We introduce an algorithm which transforms every four-dimensional cubulation into a cusped finite-volume hyperbolic four-manifold. Combinatorially distinct cubulations give rise to topologically distinct manifolds. Using this algorithm we construct the first examples of finite-volume hyperbolic four-manifolds with one cusp. More generally, we show that the number of k-cusped hyperbolic four-man...
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Long and Reid have shown that some compact flat 3-manifold cannot be diffeomorphic to a cusp cross-section of any complete finite volume 1-cusped hyperbolic 4-manifold. Similar to the flat case, we give a negative answer that there exists a 3-dimensional closed Heisenberg infranilmanifold whose diffeomorphism class cannot be arisen as a cusp cross-section of any complete finite volume 1-cusped ...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2013
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-013-0247-2