Question

Are normal curvature invariant by local conformal maps?

score 45 · Answer 1 · 2021-05-17 12:33:49

45

Views

Are normal curvature invariant by local conformal maps?

Published on 17 May 2021 - 12:33

score 247 · Answer 2 · 2026-03-26 12:53:39

247

Views

Is there a conformal map that preserves the Poincaré disc and maps two points $z_1, z_2$ to different points $z_1', z_2'$?

Published on 26 Mar 2026 - 12:53

score 43 · Answer 3 · 2021-05-21 18:37:46

43

Views

Showing that $\frac{r^2+z^2-a^2+i(2ar)}{r^2+z^2+a^2-2az}= \frac{r+i(z+a)}{r+i(z-a)}$ for real $r$, $a$, $z$

Published on 21 May 2021 - 18:37

score 303 · Answer 4 · 2026-03-27 03:43:13

303

Views

Curvature of locally conformally-flat manifolds and pull-back metrics.

Published on 27 Mar 2026 - 3:43

score 96 · Answer 5 · 2021-05-26 11:53:25

96

Views

Can a curve with finite length get infinitely long under a conformal map?

Published on 26 May 2021 - 11:53

score 151 · Answer 6 · 2026-04-01 04:29:37

151

Views

Differences in Projective- Symmetry and Invariants on the Riemann Sphere, Cylinder and Torus

Published on 01 Apr 2026 - 4:29

score 107 · Answer 7 · 2021-06-03 09:38:55

107

Views

About conformal covering map from $S^3$ to $S^3$

Published on 03 Jun 2021 - 9:38

score 129 · Answer 8 · 2021-06-04 06:58:37

129

Views

sequence of holomorphic function from unit disk to complex plane has locally uniformly convergent subsequence

Published on 04 Jun 2021 - 6:58

score 237 · Answer 9 · 2021-06-11 00:37:27

237

Views

Proving that a Riemannian product is conformally flat

Published on 11 Jun 2021 - 0:37

score 69 · Answer 10 · 2021-06-21 18:04:22

69

Views

Conformally map Swiss cross domain to a half-plane?

Published on 21 Jun 2021 - 18:04

score 58 · Answer 11 · 2021-06-27 02:30:36

58

Views

Why does conformal transformation require the function to be analytic instead of differentiable?

Published on 27 Jun 2021 - 2:30

score 210 · Answer 12 · 2026-03-31 14:32:52

210

Views

Analytic function on complement of closed unit disk onto open unit disk

Published on 31 Mar 2026 - 14:32

score 997 · Answer 13 · 2026-03-29 06:55:38

997

Views

Isometry groups of $\mathbb H^n(R)$ (hyperbolic spaces)

Published on 29 Mar 2026 - 6:55

score 174 · Answer 14 · 2021-08-07 12:25:44

174

Views

Almost everywhere conformal maps

Published on 07 Aug 2021 - 12:25

score 100 · Answer 15 · 2021-08-07 17:27:49

100

Views

Scalar Curvature for a Perturbed Metric

Published on 07 Aug 2021 - 17:27

List Question

Are normal curvature invariant by local conformal maps?

Is there a conformal map that preserves the Poincaré disc and maps two points $z_1, z_2$ to different points $z_1', z_2'$?

Showing that $\frac{r^2+z^2-a^2+i(2ar)}{r^2+z^2+a^2-2az}= \frac{r+i(z+a)}{r+i(z-a)}$ for real $r$, $a$, $z$

Curvature of locally conformally-flat manifolds and pull-back metrics.

Can a curve with finite length get infinitely long under a conformal map?

Differences in Projective- Symmetry and Invariants on the Riemann Sphere, Cylinder and Torus

About conformal covering map from $S^3$ to $S^3$

sequence of holomorphic function from unit disk to complex plane has locally uniformly convergent subsequence

Proving that a Riemannian product is conformally flat

Conformally map Swiss cross domain to a half-plane?

Why does conformal transformation require the function to be analytic instead of differentiable?

Analytic function on complement of closed unit disk onto open unit disk

Isometry groups of $\mathbb H^n(R)$ (hyperbolic spaces)

Almost everywhere conformal maps

Scalar Curvature for a Perturbed Metric

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