Faster access than browser!Similarities between Hyperbolic geometry and Poincaré metric
Hyperbolic geometry and Poincaré metric have 14 things in common (in Unionpedia): Conformal map, Cross-ratio, Curvature, Geodesic, Geometry, Henri Poincaré, Hyperbolic geometry, Isometry, Kleinian group, Mathematics, Möbius transformation, Poincaré disk model, Poincaré half-plane model, Riemann sphere.
Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
Conformal map and Hyperbolic geometry · Conformal map and Poincaré metric ·
Cross-ratio
In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line.
Cross-ratio and Hyperbolic geometry · Cross-ratio and Poincaré metric ·
Curvature
In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.
Curvature and Hyperbolic geometry · Curvature and Poincaré metric ·
Geodesic
In differential geometry, a geodesic is a generalization of the notion of a "straight line" to "curved spaces".
Geodesic and Hyperbolic geometry · Geodesic and Poincaré metric ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geometry and Hyperbolic geometry · Geometry and Poincaré metric ·
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
Henri Poincaré and Hyperbolic geometry · Henri Poincaré and Poincaré metric ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
Hyperbolic geometry and Hyperbolic geometry · Hyperbolic geometry and Poincaré metric ·
Isometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
Hyperbolic geometry and Isometry · Isometry and Poincaré metric ·
Kleinian group
In mathematics, a Kleinian group is a discrete subgroup of PSL(2, '''C''').
Hyperbolic geometry and Kleinian group · Kleinian group and Poincaré metric ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Hyperbolic geometry and Mathematics · Mathematics and Poincaré metric ·
Möbius transformation
In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0.
Hyperbolic geometry and Möbius transformation · Möbius transformation and Poincaré metric ·
Poincaré disk model
In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.
Hyperbolic geometry and Poincaré disk model · Poincaré disk model and Poincaré metric ·
Poincaré half-plane model
In non-Euclidean geometry, the Poincaré half-plane model is the upper half-plane, denoted below as H \, together with a metric, the Poincaré metric, that makes it a model of two-dimensional hyperbolic geometry.
Hyperbolic geometry and Poincaré half-plane model · Poincaré half-plane model and Poincaré metric ·
Riemann sphere
In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.
Hyperbolic geometry and Riemann sphere · Poincaré metric and Riemann sphere ·
The list above answers the following questions
- What Hyperbolic geometry and Poincaré metric have in common
- What are the similarities between Hyperbolic geometry and Poincaré metric
Hyperbolic geometry and Poincaré metric Comparison
Hyperbolic geometry has 175 relations, while Poincaré metric has 38. As they have in common 14, the Jaccard index is 6.57% = 14 / (175 + 38).
References
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