منابع مشابه
The Smallest Hyperbolic
By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.
متن کاملVolumes of hyperbolic Haken manifolds , I
Introduction In [14] a program was initiated for using the topological theory of 3manifolds to obtain lower bounds for volumes of hyperbolic 3-manifolds. In [1], by a combination of new geometric ideas with relatively standard (but specifically 3-dimensional) topological techniques, we showed that every closed, orientable hyperbolic 3-manifold whose first Betti number is at least 3 has volume e...
متن کاملThe Smallest Hyperbolic 6-manifolds
By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.
متن کاملVolumes of Hyperbolic Haken Manifolds, Ii
We show that if M is a closed hyperbolic 3-manifold and if π1(M) has a non-abelian free quotient, then the volume of M is greater than 0.92. If, in addition, π1(M) contains no genus-2 surface groups, then the volume of M is greater than 1.02. Using these results we show that if there are infinitely many primitive homology classes in H2(M ; Z) which are not represented by fibroids, then the volu...
متن کاملLexico-smallest Representations, Duality and Matching Polyhedra
Every convex polyhedron in Rd admits both Hand V-representations. In both types, a representation is canonical if it is minimal and unique up to some elementary operations. In this paper, we show the duality of canonical representations and that the canonical V-representations coincide with certain canonical H-representations. Also, we show how the lexico-smallest representation, a computationa...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2012
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2012-11665-x