hyperbolic manifold造句

Let us restrict to the case of hyperbolic manifolds of finite volume.
In particular, a globally hyperbolic manifold is foliated by Cauchy surfaces.
Moreover almost all Dehn surgeries on an hyperbolic knot yield an hyperbolic manifold.
The hyperbolic volume can be used to order the space of all hyperbolic manifold.
The construction of arithmetic Kleinian groups from quaternion algebras gives rise to particularly interesting hyperbolic manifolds.
It's difficult to find hyperbolic manifold in a sentence. 用hyperbolic manifold造句挺难的

In practice however this is how computational software ( such as SnapPea or Regina ) stores hyperbolic manifolds.
The ending lamination theorem is a generalization of the Mostow rigidity theorem to hyperbolic manifolds of infinite volume.
It is also possible to construct a finite-volume, complete hyperbolic manifold when the gluing is not complete.
:" Suppose M and N are complete finite-volume hyperbolic manifolds of dimension n \ ge 3.
Topologically, the manifold is obtained by hyperbolic Dehn surgery on the complete hyperbolic manifold which would result from a complete gluing.
Subdivision rules have been used in architecture, biology, and computer science, as well as in the study of hyperbolic manifolds.
The conditions that the manifold " M " should be irreducible and atoroidal are necessary, as hyperbolic manifolds have these properties.
For instance, the Mostow rigidity theorem states that a homotopy equivalence between closed hyperbolic manifolds is homotopic to an isometry in particular, to a homeomorphism.
In particular, a corollary is that given a cusped hyperbolic manifold, at most finitely many Dehn surgeries on it can yield an arithmetic hyperbolic manifold.
In particular, a corollary is that given a cusped hyperbolic manifold, at most finitely many Dehn surgeries on it can yield an arithmetic hyperbolic manifold.

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