Question

Diffeomorphism from Minkowski hyperbolic plane to Poincaré Disk

score 211 · Answer 1 · 2022-04-20 20:23:00

Diffeomorphism from Minkowski hyperbolic plane to Poincaré Disk

Published on 20 Apr 2022 - 20:23

score 40 · Answer 2 · 2022-04-22 10:56:17

Hyperbolic barycentric coordinates : Show that $\sum_{i=1}^3 \frac{\sinh \varepsilon_{i}}{\sinh \left(\varepsilon_{i}+\mu_{i}\right)}=1.$

score 94 · Answer 3 · 2022-04-23 05:18:26

94

Views

Express a point $v$ in terms of $v_1$ and $v_2$ and the hyperbolic distance.

Published on 23 Apr 2022 - 5:18

score 222 · Answer 4 · 2022-04-23 06:33:16

222

Views

Does every triangle in the hyperbolic plane have an incircle?

Published on 23 Apr 2022 - 6:33

score 165 · Answer 5 · 2026-03-26 14:32:02

165

Views

How to get a conformal factor between the Poincare Disk's metric and the Euclidean Metric?

Published on 26 Mar 2026 - 14:32

score 212 · Answer 6 · 2022-04-28 04:26:41

212

Views

Interpretation of the equation of a horocycle in the hyperboloid model.

Published on 28 Apr 2022 - 4:26

score 100 · Answer 7 · 2022-04-30 07:11:24

100

Views

Two horocycles with the same center are equidistant.

Published on 30 Apr 2022 - 7:11

score 263 · Answer 8 · 2022-05-02 00:25:27

263

Views

$d_{\mathbb{H}}(p,q)=|\log(pq;rs)|$.

Published on 02 May 2022 - 0:25

score 153 · Answer 9 · 2022-05-06 06:51:57

153

Views

As a function of $a$, how many points are there in hyperboloid $x^2 − y^2 − z^2 = 2$ where the tangent plane is parallel to plane $z-ax=3$?

Published on 06 May 2022 - 6:51

score 48 · Answer 10 · 2022-05-07 01:46:31

48

Views

Need help with hyperbolic geometry

Published on 07 May 2022 - 1:46

score 41 · Answer 11 · 2022-05-07 13:39:00

41

Views

Relationship between Axiomatic geometry and Hyperbolic geometry

Published on 07 May 2022 - 13:39

score 51 · Answer 12 · 2026-04-03 17:38:47

51

Views

How does the following definition of hyperbolic arc length apply to distance problems? (Differential Geometry)

Published on 03 Apr 2026 - 17:38

score 307 · Answer 13 · 2026-03-31 05:24:40

307

Views

Calculating the area of the hyperbolic triangle with vertices at $e^{i\pi/3}$, $i\sqrt2$, $i$ in the Upper Half Plane model

Published on 31 Mar 2026 - 5:24

score 85 · Answer 14 · 2026-03-26 02:34:49

85

Views

Isolated edges in hyperbolic Delaunay triangulation

Published on 26 Mar 2026 - 2:34

score 168 · Answer 15 · 2022-05-10 19:49:33

168

Views

How to define a (linear, invertible) mapping from a square to a triangle

Published on 10 May 2022 - 19:49

List Question

Diffeomorphism from Minkowski hyperbolic plane to Poincaré Disk

Hyperbolic barycentric coordinates : Show that $\sum_{i=1}^3 \frac{\sinh \varepsilon_{i}}{\sinh \left(\varepsilon_{i}+\mu_{i}\right)}=1.$

Express a point $v$ in terms of $v_1$ and $v_2$ and the hyperbolic distance.

Does every triangle in the hyperbolic plane have an incircle?

How to get a conformal factor between the Poincare Disk's metric and the Euclidean Metric?

Interpretation of the equation of a horocycle in the hyperboloid model.

Two horocycles with the same center are equidistant.

$d_{\mathbb{H}}(p,q)=|\log(pq;rs)|$.

As a function of $a$, how many points are there in hyperboloid $x^2 − y^2 − z^2 = 2$ where the tangent plane is parallel to plane $z-ax=3$?

Need help with hyperbolic geometry

Relationship between Axiomatic geometry and Hyperbolic geometry

How does the following definition of hyperbolic arc length apply to distance problems? (Differential Geometry)

Calculating the area of the hyperbolic triangle with vertices at $e^{i\pi/3}$, $i\sqrt2$, $i$ in the Upper Half Plane model

Isolated edges in hyperbolic Delaunay triangulation

How to define a (linear, invertible) mapping from a square to a triangle

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