Question

Total Curvature for a curve in a metric space

score 93 · Answer 1 · 2026-03-26 07:44:18

93

Views

Total Curvature for a curve in a metric space

Published on 26 Mar 2026 - 7:44

score 97 · Answer 2 · 2026-03-31 15:38:38

97

Views

Curvature and geodesic of $M = \mathbb{R}\times \mathbb{R}_{>0}$ with metric $ds^2 = dx^2 + ydy^2$

Published on 31 Mar 2026 - 15:38

score 60 · Answer 3 · 2021-12-26 04:39:58

60

Views

Building helixes with different torsion values

Published on 26 Dec 2021 - 4:39

score 87 · Answer 4 · 2026-03-30 10:13:18

87

Views

Chern's Lectures on Differential Geometry, 5.2, torsion free connection and curvature tensor

Published on 30 Mar 2026 - 10:13

score 101 · Answer 5 · 2021-12-29 12:03:02

101

Views

Could I understand the following results by interpreting curvature as acceleration?

Published on 29 Dec 2021 - 12:03

score 98 · Answer 6 · 2026-03-26 04:34:52

98

Views

What is the mean curvature of the hyper-ellipsoid $\{x \in \mathbb R^n \mid x^\top B x = r\}$ as a function of $r$ and the condition number of $B$?

Published on 26 Mar 2026 - 4:34

score 73 · Answer 7 · 2021-12-30 14:35:34

73

Views

Does $R(X, Y)Y$ lie in the plane spanned by $X$ and $Y$?

Published on 30 Dec 2021 - 14:35

score 239 · Answer 8 · 2026-03-28 14:07:39

239

Views

Creating Bézier curves with a maximum curvature

Published on 28 Mar 2026 - 14:07

score 578 · Answer 9 · 2026-04-02 12:59:11

578

Views

Reconstructing curve from curvature as a function of arclength

Published on 02 Apr 2026 - 12:59

score 471 · Answer 10 · 2022-01-09 00:19:15

471

Views

Gaussian curvature of Hyperbolic plane $\mathbb{H}^2=\{x^2+y^2-z^2=-1\}$

Published on 09 Jan 2022 - 0:19

score 345 · Answer 11 · 2026-03-29 04:33:49

345

Views

Area gradient, mean curvature normal, and the "cotan formula"

Published on 29 Mar 2026 - 4:33

score 142 · Answer 12 · 2022-01-14 20:42:25

142

Views

Estimating the length of a curve from below by a bound on its curvature.

Published on 14 Jan 2022 - 20:42

score 97 · Answer 13 · 2022-01-15 17:14:17

97

Views

Scalar curvature for a given metric does not fit the expected sign and numerical factor

Published on 15 Jan 2022 - 17:14

score 763 · Answer 14 · 2022-01-16 04:20:53

763

Views

Curvature as a rate of change in slope

Published on 16 Jan 2022 - 4:20

score 2.4k · Answer 15 · 2022-01-21 02:32:26

2.4k

Views

Why should I care about Gauss-Bonnet (and Gaussian curvature)?

Published on 21 Jan 2022 - 2:32

List Question

Total Curvature for a curve in a metric space

Curvature and geodesic of $M = \mathbb{R}\times \mathbb{R}_{>0}$ with metric $ds^2 = dx^2 + ydy^2$

Building helixes with different torsion values

Chern's Lectures on Differential Geometry, 5.2, torsion free connection and curvature tensor

Could I understand the following results by interpreting curvature as acceleration?

What is the mean curvature of the hyper-ellipsoid $\{x \in \mathbb R^n \mid x^\top B x = r\}$ as a function of $r$ and the condition number of $B$?

Does $R(X, Y)Y$ lie in the plane spanned by $X$ and $Y$?

Creating Bézier curves with a maximum curvature

Reconstructing curve from curvature as a function of arclength

Gaussian curvature of Hyperbolic plane $\mathbb{H}^2=\{x^2+y^2-z^2=-1\}$

Area gradient, mean curvature normal, and the "cotan formula"

Estimating the length of a curve from below by a bound on its curvature.

Scalar curvature for a given metric does not fit the expected sign and numerical factor

Curvature as a rate of change in slope

Why should I care about Gauss-Bonnet (and Gaussian curvature)?

Trending Questions

Popular # Hahtags

Popular Questions