Question

Does hyperbolic geometry actually take place on a hyperboloid?

score 154 · Answer 1 · 2022-10-19 15:45:01

154

Views

Does hyperbolic geometry actually take place on a hyperboloid?

Published on 19 Oct 2022 - 15:45

score 20 · Answer 2 · 2026-04-02 16:13:00

20

Views

Basic references to study the hyperbolic plane

Published on 02 Apr 2026 - 16:13

score 119 · Answer 3 · 2026-03-26 10:56:29

119

Views

Hyperbolic vs Euclidean balls

Published on 26 Mar 2026 - 10:56

score 152 · Answer 4 · 2026-03-30 23:13:35

152

Views

Show that the Poincare disk is complete metric space with respect to the hyperbolic metric.

Published on 30 Mar 2026 - 23:13

score 70 · Answer 5 · 2022-11-04 14:01:20

70

Views

To show that, $\nabla_{\mathbb{H}^n}^2x_i=x_ig_{\mathbb{H}^n}, 1\leq i\leq n$ and $\nabla_{\mathbb{H}^n}^2t=tg_{\mathbb{H}^n}$.

Published on 04 Nov 2022 - 14:01

score 90 · Answer 6 · 2022-11-05 04:52:50

90

Views

Does the property "any three non-collinear points lie on a unique circle" hold true for hyperbolic circle?

Published on 05 Nov 2022 - 4:52

score 63 · Answer 7 · 2026-03-26 19:03:07

63

Views

the features of the action of $\Gamma = \langle \gamma \rangle$ on $\mathbb{C}\mathbb{P}^1$

Published on 26 Mar 2026 - 19:03

score 590 · Answer 8 · 2022-11-06 03:26:12

590

Views

How to find an hyperbolic line that is perpendicular through two other hyperbolic lines?

Published on 06 Nov 2022 - 3:26

score 111 · Answer 9 · 2026-04-03 03:03:48

111

Views

How is the topology on $\overline{\mathbb H} = \mathbb H \cup \mathbb Q \cup \{\infty\}$ defined?

Published on 03 Apr 2026 - 3:03

score 73 · Answer 10 · 2026-03-28 13:35:42

73

Views

Deformations of hyperbolic space

Published on 28 Mar 2026 - 13:35

score 42 · Answer 11 · 2022-11-15 10:45:33

42

Views

Uniqueness of translations in hyperbolic plane

Published on 15 Nov 2022 - 10:45

score 53 · Answer 12 · 2026-03-29 11:00:08

53

Views

Is that two commutative elliptic isometry have at least one same fixed point？

Published on 29 Mar 2026 - 11:00

score 238 · Answer 13 · 2022-11-17 00:50:55

238

Views

Element of area in hyperbolic plane with polar coordinates on hyperboloid model

Published on 17 Nov 2022 - 0:50

score 70 · Answer 14 · 2022-11-17 02:37:28

70

Views

Simple geodesic on the once-punctured torus which spirals to a minimal lamination

Published on 17 Nov 2022 - 2:37

score 105 · Answer 15 · 2022-11-22 08:50:50

105

Views

Calculating the minkowski metric in polar coordinates

Published on 22 Nov 2022 - 8:50

List Question

Does hyperbolic geometry actually take place on a hyperboloid?

Basic references to study the hyperbolic plane

Hyperbolic vs Euclidean balls

Show that the Poincare disk is complete metric space with respect to the hyperbolic metric.

To show that, $\nabla_{\mathbb{H}^n}^2x_i=x_ig_{\mathbb{H}^n}, 1\leq i\leq n$ and $\nabla_{\mathbb{H}^n}^2t=tg_{\mathbb{H}^n}$.

Does the property "any three non-collinear points lie on a unique circle" hold true for hyperbolic circle?

the features of the action of $\Gamma = \langle \gamma \rangle$ on $\mathbb{C}\mathbb{P}^1$

How to find an hyperbolic line that is perpendicular through two other hyperbolic lines?

How is the topology on $\overline{\mathbb H} = \mathbb H \cup \mathbb Q \cup \{\infty\}$ defined?

Deformations of hyperbolic space

Uniqueness of translations in hyperbolic plane

Is that two commutative elliptic isometry have at least one same fixed point？

Element of area in hyperbolic plane with polar coordinates on hyperboloid model

Simple geodesic on the once-punctured torus which spirals to a minimal lamination

Calculating the minkowski metric in polar coordinates

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