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Hyperbolic 3-manifold and Hyperbolic geometry

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

Difference between Hyperbolic 3-manifold and Hyperbolic geometry

Hyperbolic 3-manifold vs. Hyperbolic geometry

In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1. In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.

Similarities between Hyperbolic 3-manifold and Hyperbolic geometry

Hyperbolic 3-manifold and Hyperbolic geometry have 6 things in common (in Unionpedia): Geometrization conjecture, Hyperbolic manifold, Hyperbolic space, Ideal triangle, Kleinian group, Mathematics.

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.

Geometrization conjecture and Hyperbolic 3-manifold · Geometrization conjecture and Hyperbolic geometry · See more »

Hyperbolic manifold

In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension.

Hyperbolic 3-manifold and Hyperbolic manifold · Hyperbolic geometry and Hyperbolic manifold · See more »

Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

Hyperbolic 3-manifold and Hyperbolic space · Hyperbolic geometry and Hyperbolic space · See more »

Ideal triangle

In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points.

Hyperbolic 3-manifold and Ideal triangle · Hyperbolic geometry and Ideal triangle · See more »

Kleinian group

In mathematics, a Kleinian group is a discrete subgroup of PSL(2, '''C''').

Hyperbolic 3-manifold and Kleinian group · Hyperbolic geometry and Kleinian group · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Hyperbolic 3-manifold and Mathematics · Hyperbolic geometry and Mathematics · See more »

The list above answers the following questions

Hyperbolic 3-manifold and Hyperbolic geometry Comparison

Hyperbolic 3-manifold has 57 relations, while Hyperbolic geometry has 175. As they have in common 6, the Jaccard index is 2.59% = 6 / (57 + 175).

References

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

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