Question

Can closed curves have small curvature?

score 862 · Answer 1 · 2026-04-01 04:19:38

862

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Can closed curves have small curvature?

Published on 01 Apr 2026 - 4:19

score 621 · Answer 2 · 2011-09-07 21:32:04

621

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Hilbert theorem and constant negative curvature surfaces

Published on 07 Sep 2011 - 21:32

score 31k · Answer 3 · 2011-10-05 23:26:26

31k

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Is there any easy way to understand the definition of Gaussian Curvature?

Published on 05 Oct 2011 - 23:26

score 4.2k · Answer 4 · 2011-10-12 01:35:07

4.2k

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Is there a geometric explanation for why principal curvature directions are orthogonal?

Published on 12 Oct 2011 - 1:35

score 141 · Answer 5 · 2026-04-01 08:50:44

141

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Non-intersecting smooth paths in the plane and the relation to curvature

Published on 01 Apr 2026 - 8:50

score 367 · Answer 6 · 2011-12-12 12:28:26

367

Views

Simple problem with the normal curvature tensor

Published on 12 Dec 2011 - 12:28

score 909 · Answer 7 · 2011-12-12 12:48:32

909

Views

exponential map and sectional curvature

Published on 12 Dec 2011 - 12:48

score 1.3k · Answer 8 · 2011-12-13 16:09:45

1.3k

Views

Questions on surfaces touching along a curve (why is it a curvature line?)

Published on 13 Dec 2011 - 16:09

score 379 · Answer 9 · 2012-01-23 18:47:40

379

Views

Explicit formula for the curvaure of a connection

Published on 23 Jan 2012 - 18:47

score 302 · Answer 10 · 2012-01-24 12:33:17

302

Views

Principal Curvatures of axisymmetric function

Published on 24 Jan 2012 - 12:33

score 174 · Answer 11 · 2012-01-30 17:04:18

174

Views

Curvatures of contours of solutions of 3d Poisson's equation

Published on 30 Jan 2012 - 17:04

score 7.3k · Answer 12 · 2012-02-20 18:13:39

7.3k

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How can I find the curvature of $r(t) = ( \sqrt{2}t, e^t, e^{-t} )$ using the unit tangent vector?

Published on 20 Feb 2012 - 18:13

score 499 · Answer 13 · 2012-02-21 00:20:51

499

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What's the relationship between the riemannian metric and Jacobi field?

Published on 21 Feb 2012 - 0:20

score 1.3k · Answer 14 · 2012-03-02 13:16:59

1.3k

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Is there a notion of mean curvature for general submanifolds?

Published on 02 Mar 2012 - 13:16

score 923 · Answer 15 · 2012-05-22 16:56:28

923

Views

Curve arc length parametrization definition

Published on 22 May 2012 - 16:56

List Question

Can closed curves have small curvature?

Hilbert theorem and constant negative curvature surfaces

Is there any easy way to understand the definition of Gaussian Curvature?

Is there a geometric explanation for why principal curvature directions are orthogonal?

Non-intersecting smooth paths in the plane and the relation to curvature

Simple problem with the normal curvature tensor

exponential map and sectional curvature

Questions on surfaces touching along a curve (why is it a curvature line?)

Explicit formula for the curvaure of a connection

Principal Curvatures of axisymmetric function

Curvatures of contours of solutions of 3d Poisson's equation

How can I find the curvature of $r(t) = ( \sqrt{2}t, e^t, e^{-t} )$ using the unit tangent vector?

What's the relationship between the riemannian metric and Jacobi field?

Is there a notion of mean curvature for general submanifolds?

Curve arc length parametrization definition

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