Question

The precise formula of the Poincare-Bergman metric on the disc $\mathbb{D}$.

score 361 · Answer 1 · 2026-03-23 03:51:00

361

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The precise formula of the Poincare-Bergman metric on the disc $\mathbb{D}$.

Published on 23 Mar 2026 - 3:51

score 104 · Answer 2 · 2026-03-28 14:58:46

104

Views

Law of Cosines with imaginary arguments?

Published on 28 Mar 2026 - 14:58

score 497 · Answer 3 · 2026-03-03 09:32:58

497

Views

Is the fundamental group of a compact Riemann surface after removing a finite number of points still a Fuchsian group?

Published on 03 Mar 2026 - 9:32

score 54 · Answer 4 · 2015-10-31 13:54:10

54

Views

How to show that the metric $\frac{|dz|^2}{y^2}$ and the 2-form $\frac{dz \wedge d\overline{z}}{(-2i)y^2}$ are $SL_2$-invariant measures?

Published on 31 Oct 2015 - 13:54

score 247 · Answer 5 · 2015-11-04 17:24:20

247

Views

Hyperbolic space and metrics

Published on 04 Nov 2015 - 17:24

score 219 · Answer 6 · 2026-03-31 03:39:07

219

Views

An $d$-sheeted unramified covering of compact Riemann surfaces induce a (monodromy) action on $d$ letters. Is the opposite true?

Published on 31 Mar 2026 - 3:39

score 112 · Answer 7 · 2015-11-07 11:15:30

112

Views

Compute of curvature

Published on 07 Nov 2015 - 11:15

score 1k · Answer 8 · 2026-03-29 22:33:58

1k

Views

Mapping the Poincaré disk to hyperbolic surfaces in $\mathbb{R}^3$.

Published on 29 Mar 2026 - 22:33

score 252 · Answer 9 · 2015-11-10 17:50:02

252

Views

Tiling on Poincaré disc

Published on 10 Nov 2015 - 17:50

score 171 · Answer 10 · 2015-11-11 01:15:12

171

Views

When a ray of an horocircle passing through the origin intersects the y axis.

Published on 11 Nov 2015 - 1:15

score 1.6k · Answer 11 · 2015-11-14 03:07:38

1.6k

Views

Can a hyperbolic surface be isometrically embedded into $\mathbb R^4$?

Published on 14 Nov 2015 - 3:07

score 130 · Answer 12 · 2026-03-26 18:00:48

130

Views

Example of a doubly degenerate Kleinian group which does not come from a mapping torus

Published on 26 Mar 2026 - 18:00

score 688 · Answer 13 · 2015-11-19 01:01:42

688

Views

Misinterpretations of Hilbert's Theorem?

Published on 19 Nov 2015 - 1:01

score 184 · Answer 14 · 2015-11-20 23:19:41

184

Views

Non euclidean lines (finding endpoints of semicircle)

Published on 20 Nov 2015 - 23:19

score 57 · Answer 15 · 2015-11-22 13:30:08

57

Views

Prove $A \cdot B\leq -1$, where $A$ and $B$ are in $\mathbb{H}^2$

Published on 22 Nov 2015 - 13:30

List Question

The precise formula of the Poincare-Bergman metric on the disc $\mathbb{D}$.

Law of Cosines with imaginary arguments?

Is the fundamental group of a compact Riemann surface after removing a finite number of points still a Fuchsian group?

How to show that the metric $\frac{|dz|^2}{y^2}$ and the 2-form $\frac{dz \wedge d\overline{z}}{(-2i)y^2}$ are $SL_2$-invariant measures?

Hyperbolic space and metrics

An $d$-sheeted unramified covering of compact Riemann surfaces induce a (monodromy) action on $d$ letters. Is the opposite true?

Compute of curvature

Mapping the Poincaré disk to hyperbolic surfaces in $\mathbb{R}^3$.

Tiling on Poincaré disc

When a ray of an horocircle passing through the origin intersects the y axis.

Can a hyperbolic surface be isometrically embedded into $\mathbb R^4$?

Example of a doubly degenerate Kleinian group which does not come from a mapping torus

Misinterpretations of Hilbert's Theorem?

Non euclidean lines (finding endpoints of semicircle)

Prove $A \cdot B\leq -1$, where $A$ and $B$ are in $\mathbb{H}^2$

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