List questions from curves

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139

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Is the composition of a regular curve and a regular surface a regular curve?

Published on 31 Mar 2026 - 20:40

173

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Is it true the derivative of the length of a Lipschitz path equals its speed? (when they exist)

Published on 27 Mar 2026 - 19:33

102

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Can a map which strictly decrease distances preserve lengths of paths?

Published on 25 Mar 2026 - 6:07

73

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A map whose infinitesimal distortion tends to $1$ preserve lengths of paths?

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Equation for a smooth step function

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752

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Finding the tangent line and normal line to a curve

Published on 28 Mar 2026 - 7:57

834

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Principle curvature and line of curvature

Published on 13 Dec 2016 - 5:10

70

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Integral curve on tangential field

Published on 13 Dec 2016 - 10:26

92

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Approximation of Lipschitz curves by $C^{1,1}$ curves

Published on 27 Mar 2026 - 0:03

74

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If a closed plane curve has turning number zero how to prove the continuous argument of the unit tangent field has the same period as the plane curve

Published on 27 Mar 2026 - 2:03

74

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How to prove that a surface obtained by linking the points of two regular and simple curves is $C^{2}$?

Published on 31 Mar 2026 - 20:37

17k

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How to find limits of integration of polar curves?

Published on 15 Dec 2016 - 9:23

1.5k

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How can we draw the contour line?

Published on 15 Dec 2016 - 20:52

187

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Show that for every curve $\gamma$ in $\mathbb{R^m}$ we obtain the same velocity vector in $\mathbb{R^n}$

Published on 16 Dec 2016 - 15:21

List Question

Definition of curves.

Is the composition of a regular curve and a regular surface a regular curve?

Is it true the derivative of the length of a Lipschitz path equals its speed? (when they exist)

Can a map which strictly decrease distances preserve lengths of paths?

A map whose infinitesimal distortion tends to $1$ preserve lengths of paths?

Equation for a smooth step function

Finding the tangent line and normal line to a curve

Principle curvature and line of curvature

Integral curve on tangential field

Approximation of Lipschitz curves by $C^{1,1}$ curves

If a closed plane curve has turning number zero how to prove the continuous argument of the unit tangent field has the same period as the plane curve

How to prove that a surface obtained by linking the points of two regular and simple curves is $C^{2}$?

How to find limits of integration of polar curves?

How can we draw the contour line?

Show that for every curve $\gamma$ in $\mathbb{R^m}$ we obtain the same velocity vector in $\mathbb{R^n}$

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