List questions from curvature

Published on 24 Jan 2022 - 18:13

118

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Comparing "straightness" of two curves of different dimensionality

Published on 24 Jan 2022 - 18:21

80

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Curve with increasing curvature is a circle

Published on 27 Jan 2022 - 20:22

116

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Elementary Riemann curvature calculation

Published on 29 Jan 2022 - 19:00

245

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What does it mean for a gauge field to have no curvature?

Published on 26 Mar 2026 - 14:34

203

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The mean curvature of a hypersurface $(M^{(n)},g)$ as $H:=\frac{1}{n}\mathsf{tr}(s)=\frac{1}{n}\mathsf{tr}_g h$

Published on 02 Feb 2022 - 10:07

289

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Prove $M$ is diffeomorphic to $\mathbb{S}^2$

Published on 02 Feb 2022 - 19:23

74

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Set geodesic convexity on positive curvature manifolds under linear transformation

Published on 30 Mar 2026 - 20:42

42

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calculating gaussian curvature on the unit sphere using the Diguet theorem

Published on 05 Feb 2022 - 11:42

78

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Curvature vector in terms of a general parametrization

Published on 06 Feb 2022 - 11:47

3.5k

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Why is the surface of a torus flat?

Published on 06 Feb 2022 - 15:42

272

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Gaussian Curvature for Poincare upper half plane embedded in Minkowski

Published on 27 Mar 2026 - 4:23

28

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Understanding curvature equality: $\pi^*F^\nabla=F^\omega$ using the frame bundle

Published on 30 Mar 2026 - 11:58

79

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Find Riemannian metric $g$ that induces given family of norms.

Published on 18 Feb 2022 - 12:21

906

Views

How to draw a smooth simple line connecting a set of points?

Published on 21 Feb 2022 - 10:04

List Question

How can I pick which formula to use for a curvature?

Comparing "straightness" of two curves of different dimensionality

Curve with increasing curvature is a circle

Elementary Riemann curvature calculation

What does it mean for a gauge field to have no curvature?

The mean curvature of a hypersurface $(M^{(n)},g)$ as $H:=\frac{1}{n}\mathsf{tr}(s)=\frac{1}{n}\mathsf{tr}_g h$

Prove $M$ is diffeomorphic to $\mathbb{S}^2$

Set geodesic convexity on positive curvature manifolds under linear transformation

calculating gaussian curvature on the unit sphere using the Diguet theorem

Curvature vector in terms of a general parametrization

Why is the surface of a torus flat?

Gaussian Curvature for Poincare upper half plane embedded in Minkowski

Understanding curvature equality: $\pi^*F^\nabla=F^\omega$ using the frame bundle

Find Riemannian metric $g$ that induces given family of norms.

How to draw a smooth simple line connecting a set of points?

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