Question

How is this expression relating circumference to 2D curvature derived? From MTW Gravitation

score 176 · Answer 1 · 2026-03-25 13:04:56

176

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How is this expression relating circumference to 2D curvature derived? From MTW Gravitation

Published on 25 Mar 2026 - 13:04

score 387 · Answer 2 · 2019-11-15 02:48:20

387

Views

Null-homotopic embedded circle in surface bounds disk

Published on 15 Nov 2019 - 2:48

score 30 · Answer 3 · 2026-03-27 08:42:49

30

Views

Proof of positive and negative gaussian curvature

Published on 27 Mar 2026 - 8:42

score 216 · Answer 4 · 2026-03-29 10:15:27

216

Views

An application of differential geometry of curves and/or surfaces?

Published on 29 Mar 2026 - 10:15

score 732 · Answer 5 · 2026-03-27 08:42:51

732

Views

Proof that coordinate lines are lines of curvature

Published on 27 Mar 2026 - 8:42

score 143 · Answer 6 · 2026-03-27 13:27:32

143

Views

Prove non-curvature is asymptotic with unit binormal vector

Published on 27 Mar 2026 - 13:27

score 243 · Answer 7 · 2026-03-29 10:15:30

243

Views

Representing a unit speed curve on a general surface in terms of its Frenet Frame

Published on 29 Mar 2026 - 10:15

score 385 · Answer 8 · 2026-03-28 05:22:18

385

Views

What are the Euler characteristics of fractals?

Published on 28 Mar 2026 - 5:22

score 33 · Answer 9 · 2026-03-26 19:16:58

33

Views

Normal derivative of smooth function on smooth surface yields tangential derivative

Published on 26 Mar 2026 - 19:16

score 32 · Answer 10 · 2019-11-22 14:50:50

32

Views

Condition establishing inclusion of singular surface inside multi-dimensional contour

Published on 22 Nov 2019 - 14:50

score 49 · Answer 11 · 2026-03-26 10:46:16

49

Views

Density of the cannonball problem packing

Published on 26 Mar 2026 - 10:46

score 1k · Answer 12 · 2026-03-26 04:51:12

1k

Views

geodesics in a Liouville's surface

Published on 26 Mar 2026 - 4:51

score 48 · Answer 13 · 2026-03-26 04:50:29

48

Views

Understanding proof detail (Gauss theorem form small geodesic triangles)

Published on 26 Mar 2026 - 4:50

score 1.2k · Answer 14 · 2019-11-30 18:57:22

1.2k

Views

2 ways to show that a surface is smooth

Published on 30 Nov 2019 - 18:57

score 343 · Answer 15 · 2026-03-27 13:25:48

343

Views

Consider the patch $\sigma(u,v)=(u,v,uv)$. Find the principal curvatures and principal directions

Published on 27 Mar 2026 - 13:25

List Question

How is this expression relating circumference to 2D curvature derived? From MTW Gravitation

Null-homotopic embedded circle in surface bounds disk

Proof of positive and negative gaussian curvature

An application of differential geometry of curves and/or surfaces?

Proof that coordinate lines are lines of curvature

Prove non-curvature is asymptotic with unit binormal vector

Representing a unit speed curve on a general surface in terms of its Frenet Frame

What are the Euler characteristics of fractals?

Normal derivative of smooth function on smooth surface yields tangential derivative

Condition establishing inclusion of singular surface inside multi-dimensional contour

Density of the cannonball problem packing

geodesics in a Liouville's surface

Understanding proof detail (Gauss theorem form small geodesic triangles)

2 ways to show that a surface is smooth

Consider the patch $\sigma(u,v)=(u,v,uv)$. Find the principal curvatures and principal directions

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