Question

Gauss-Bonnet Like Statement Connecting Parallel Transport and Curvature

score 724 · Answer 1 · 2017-12-15 19:06:55

724

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Gauss-Bonnet Like Statement Connecting Parallel Transport and Curvature

Published on 15 Dec 2017 - 19:06

score 295 · Answer 2 · 2026-03-26 06:21:20

295

Views

Recovering Curvature Endomorphism out of Holonomy

Published on 26 Mar 2026 - 6:21

score 62 · Answer 3 · 2026-03-31 22:10:52

62

Views

Proving that strictly monotonic curvature implies no self intersections (more specifically, using the following inequalities)

Published on 31 Mar 2026 - 22:10

score 2.9k · Answer 4 · 2017-12-18 16:07:01

2.9k

Views

Proof that the evolute of an ellipse is an astroid

Published on 18 Dec 2017 - 16:07

score 5.5k · Answer 5 · 2017-12-24 19:08:22

5.5k

Views

Difference between Slope and Curvature

Published on 24 Dec 2017 - 19:08

score 2.6k · Answer 6 · 2026-03-29 13:47:11

2.6k

Views

On the definition of the geodesic curvature and its relation to concepts from Riemannian geometry

Published on 29 Mar 2026 - 13:47

score 1k · Answer 7 · 2017-12-28 13:06:54

1k

Views

The Differential of the Gauss map is the Negative of the Shape Operator?

Published on 28 Dec 2017 - 13:06

score 158 · Answer 8 · 2026-03-25 11:20:05

158

Views

Can you construct a hypersphere with a curvature of zero?

Published on 25 Mar 2026 - 11:20

score 224 · Answer 9 · 2018-01-01 17:33:51

224

Views

Find the geodesic curvature of the line $y=b$ in the hyperbolic plane with metric $\frac{dx^2+dy^2}{y^2}$

Published on 01 Jan 2018 - 17:33

score 16.9k · Answer 10 · 2018-01-01 17:48:24

16.9k

Views

Find the radius of curvature at the origin

Published on 01 Jan 2018 - 17:48

score 505 · Answer 11 · 2026-03-27 16:12:29

505

Views

Poincaré's inequality for vector fields on a surface

Published on 27 Mar 2026 - 16:12

score 512 · Answer 12 · 2018-01-05 19:32:16

512

Views

Confusion over what indices to contract when deriving Ricci curvature from the curvature tensor?

Published on 05 Jan 2018 - 19:32

score 233 · Answer 13 · 2026-03-27 01:46:03

233

Views

Understanding the definition of the Paneitz operator

Published on 27 Mar 2026 - 1:46

score 680 · Answer 14 · 2026-03-27 13:48:29

680

Views

How to prove $\int_M-\text{Ric}(V,V)+ |\nabla V|^2 =\int_M \frac{1}{2}|L_Vg|^2-\big(\text{div}V\big)^2$?

Published on 27 Mar 2026 - 13:48

score 48 · Answer 15 · 2026-03-26 12:35:27

48

Views

Is this formula for mean curvature always valid?

Published on 26 Mar 2026 - 12:35

List Question

Gauss-Bonnet Like Statement Connecting Parallel Transport and Curvature

Recovering Curvature Endomorphism out of Holonomy

Proving that strictly monotonic curvature implies no self intersections (more specifically, using the following inequalities)

Proof that the evolute of an ellipse is an astroid

Difference between Slope and Curvature

On the definition of the geodesic curvature and its relation to concepts from Riemannian geometry

The Differential of the Gauss map is the Negative of the Shape Operator?

Can you construct a hypersphere with a curvature of zero?

Find the geodesic curvature of the line $y=b$ in the hyperbolic plane with metric $\frac{dx^2+dy^2}{y^2}$

Find the radius of curvature at the origin

Poincaré's inequality for vector fields on a surface

Confusion over what indices to contract when deriving Ricci curvature from the curvature tensor?

Understanding the definition of the Paneitz operator

How to prove $\int_M-\text{Ric}(V,V)+ |\nabla V|^2 =\int_M \frac{1}{2}|L_Vg|^2-\big(\text{div}V\big)^2$?

Is this formula for mean curvature always valid?

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