Question

Characterization of Plane Curves via Curvature $\kappa(s)$ or Equal Curvature Curves are Congruent

score 727 · Answer 1 · 2020-08-24 05:15:46

727

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Characterization of Plane Curves via Curvature $\kappa(s)$ or Equal Curvature Curves are Congruent

Published on 24 Aug 2020 - 5:15

score 66 · Answer 2 · 2020-08-24 18:30:07

66

Views

Confused about the number of independent components of the curvature tensor

Published on 24 Aug 2020 - 18:30

score 59 · Answer 3 · 2026-04-01 07:53:17

59

Views

Find a parametric equation of a plane curve

Published on 01 Apr 2026 - 7:53

score 29 · Answer 4 · 2026-03-27 23:48:54

29

Views

For the straight line between points with position vectors a and b, find an explicit unit-speed parameterization.

Published on 27 Mar 2026 - 23:48

score 82 · Answer 5 · 2020-08-27 11:46:49

82

Views

Curvature of a circle using tensors

Published on 27 Aug 2020 - 11:46

score 173 · Answer 6 · 2020-08-28 15:32:22

173

Views

If the unit tangent vector T has constant length, under what additional conditions does the derivative of T with respect to time have constant length?

Published on 28 Aug 2020 - 15:32

score 80 · Answer 7 · 2020-09-04 01:12:13

80

Views

What are the eigenvalues of the curvature operator on $\mathbb{C}P^2$?

Published on 04 Sep 2020 - 1:12

score 66 · Answer 8 · 2020-09-04 17:36:53

66

Views

Curves in $\mathbb{R}^3$ with given properties

Published on 04 Sep 2020 - 17:36

score 206 · Answer 9 · 2026-03-26 04:34:28

206

Views

Curvature waves, harmonic curvature, and curvature flow

Published on 26 Mar 2026 - 4:34

score 106 · Answer 10 · 2020-09-05 21:43:20

106

Views

Relationship between constants so that the center of curvature of the helix is contained in the cylinder

Published on 05 Sep 2020 - 21:43

score 70 · Answer 11 · 2026-03-27 11:24:38

70

Views

Hermitian semipositive and Ricci semipositive.

Published on 27 Mar 2026 - 11:24

score 209 · Answer 12 · 2020-09-10 09:15:32

209

Views

Curvature of Lie group endowed with bi-invariant Riemmanian metric.

Published on 10 Sep 2020 - 9:15

score 467 · Answer 13 · 2026-03-27 13:45:41

467

Views

Relation between Lie bracket and curvature

Published on 27 Mar 2026 - 13:45

score 249 · Answer 14 · 2026-03-25 12:49:39

249

Views

Let $x$ lie on the surface of a sphere centered at the origin. Prove that $(\tau /\kappa) + ( (1/\tau )(1/\kappa)' )' = 0$

Published on 25 Mar 2026 - 12:49

score 52 · Answer 15 · 2020-09-15 00:19:53

52

Views

Scalar Curvature evaluation at a point

Published on 15 Sep 2020 - 0:19

List Question

Characterization of Plane Curves via Curvature $\kappa(s)$ or Equal Curvature Curves are Congruent

Confused about the number of independent components of the curvature tensor

Find a parametric equation of a plane curve

For the straight line between points with position vectors a and b, find an explicit unit-speed parameterization.

Curvature of a circle using tensors

If the unit tangent vector T has constant length, under what additional conditions does the derivative of T with respect to time have constant length?

What are the eigenvalues of the curvature operator on $\mathbb{C}P^2$?

Curves in $\mathbb{R}^3$ with given properties

Curvature waves, harmonic curvature, and curvature flow

Relationship between constants so that the center of curvature of the helix is contained in the cylinder

Hermitian semipositive and Ricci semipositive.

Curvature of Lie group endowed with bi-invariant Riemmanian metric.

Relation between Lie bracket and curvature

Let $x$ lie on the surface of a sphere centered at the origin. Prove that $(\tau /\kappa) + ( (1/\tau )(1/\kappa)' )' = 0$

Scalar Curvature evaluation at a point

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