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3-manifold and Hyperbolization theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between 3-manifold and Hyperbolization theorem

3-manifold vs. Hyperbolization theorem

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. In geometry, Thurston's geometrization theorem or hyperbolization theorem implies that closed atoroidal Haken manifolds are hyperbolic, and in particular satisfy the Thurston conjecture.

Similarities between 3-manifold and Hyperbolization theorem

3-manifold and Hyperbolization theorem have 6 things in common (in Unionpedia): Annals of Mathematics, Geometrization conjecture, Haken manifold, Mostow rigidity theorem, Ricci flow, William Thurston.

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

3-manifold and Annals of Mathematics · Annals of Mathematics and Hyperbolization theorem · See more »

Geometrization conjecture

In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.

3-manifold and Geometrization conjecture · Geometrization conjecture and Hyperbolization theorem · See more »

Haken manifold

In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that is sufficiently large, meaning that it contains a properly embedded two-sided incompressible surface.

3-manifold and Haken manifold · Haken manifold and Hyperbolization theorem · See more »

Mostow rigidity theorem

In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete, finite-volume hyperbolic manifold of dimension greater than two is determined by the fundamental group and hence unique.

3-manifold and Mostow rigidity theorem · Hyperbolization theorem and Mostow rigidity theorem · See more »

Ricci flow

In differential geometry, the Ricci flow (Italian) is an intrinsic geometric flow.

3-manifold and Ricci flow · Hyperbolization theorem and Ricci flow · See more »

William Thurston

William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.

3-manifold and William Thurston · Hyperbolization theorem and William Thurston · See more »

The list above answers the following questions

3-manifold and Hyperbolization theorem Comparison

3-manifold has 185 relations, while Hyperbolization theorem has 12. As they have in common 6, the Jaccard index is 3.05% = 6 / (185 + 12).

References

This article shows the relationship between 3-manifold and Hyperbolization theorem. To access each article from which the information was extracted, please visit:

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