Question

Visualizing Ricci scalar curvature

score 1.3k · Answer 1 · 2026-03-27 10:44:45

1.3k

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Visualizing Ricci scalar curvature

Published on 27 Mar 2026 - 10:44

score 383 · Answer 2 · 2015-02-01 17:57:09

383

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Computation of the extrinsic curvature tensor for a warp drive metric.

Published on 01 Feb 2015 - 17:57

score 154 · Answer 3 · 2015-02-08 05:09:49

154

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Geometric meaning of $\nabla_{[i}(x^i \nabla_{j]}x^j)$ and $(\nabla_{[i}x^i )\nabla_{j]}x^j$

Published on 08 Feb 2015 - 5:09

score 272 · Answer 4 · 2026-03-26 17:53:13

272

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Failure to close of horizontal lift on principal bundles.

Published on 26 Mar 2026 - 17:53

score 68 · Answer 5 · 2015-02-12 09:43:46

Let $\gamma: (\alpha, \beta) \rightarrow \mathbb R^3$ be a space curve with speed $1$ s.t $|| \gamma(s) || = R > 0$. Show $\kappa(s) \ge \frac 1 R$.

score 42 · Answer 6 · 2015-02-13 13:25:41

42

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Linearlized curvature operator

Published on 13 Feb 2015 - 13:25

score 291 · Answer 7 · 2015-02-14 03:46:15

291

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Prove the local expression of Riemannian curvature tensor

Published on 14 Feb 2015 - 3:46

score 611 · Answer 8 · 2015-02-14 10:51:47

611

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Does covariant derivative commute with "generalized contraction"_ About the proof of 2nd Bianchi identity

Published on 14 Feb 2015 - 10:51

score 323 · Answer 9 · 2026-03-27 22:57:43

323

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Preservation of the curvature tensor implies preservation of the connection?

Published on 27 Mar 2026 - 22:57

score 13.7k · Answer 10 · 2015-02-22 10:39:08

13.7k

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Radius vs Radius of curvature of an ellipse

Published on 22 Feb 2015 - 10:39

score 1.4k · Answer 11 · 2015-02-22 11:26:59

1.4k

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Hyperbolic geometry when the curvature is constant and negative but not -1

Published on 22 Feb 2015 - 11:26

score 2.4k · Answer 12 · 2015-02-26 19:01:30

2.4k

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Parametrization where coordinates lines are lines of curvature

Published on 26 Feb 2015 - 19:01

score 206 · Answer 13 · 2026-03-27 17:52:22

206

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If $0 < \theta < \frac{\pi}{2}$, then $\gamma$ is a logarithmic spiral

Published on 27 Mar 2026 - 17:52

score 109 · Answer 14 · 2015-02-28 13:42:59

109

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Finding inflection points and concavity for given function

Published on 28 Feb 2015 - 13:42

score 2.2k · Answer 15 · 2015-03-03 15:45:52

2.2k

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Zero Sectional Curvature implies exp is a local isometry

Published on 03 Mar 2015 - 15:45

List Question

Visualizing Ricci scalar curvature

Computation of the extrinsic curvature tensor for a warp drive metric.

Geometric meaning of $\nabla_{[i}(x^i \nabla_{j]}x^j)$ and $(\nabla_{[i}x^i )\nabla_{j]}x^j$

Failure to close of horizontal lift on principal bundles.

Let $\gamma: (\alpha, \beta) \rightarrow \mathbb R^3$ be a space curve with speed $1$ s.t $|| \gamma(s) || = R > 0$. Show $\kappa(s) \ge \frac 1 R$.

Linearlized curvature operator

Prove the local expression of Riemannian curvature tensor

Does covariant derivative commute with "generalized contraction"_ About the proof of 2nd Bianchi identity

Preservation of the curvature tensor implies preservation of the connection?

Radius vs Radius of curvature of an ellipse

Hyperbolic geometry when the curvature is constant and negative but not -1

Parametrization where coordinates lines are lines of curvature

If $0 < \theta < \frac{\pi}{2}$, then $\gamma$ is a logarithmic spiral

Finding inflection points and concavity for given function

Zero Sectional Curvature implies exp is a local isometry

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