Question

Find point of $n$-sphere after moving on geodesic by given angle

score 221 · Answer 1 · 2026-03-28 03:30:49

221

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Find point of $n$-sphere after moving on geodesic by given angle

Published on 28 Mar 2026 - 3:30

score 180 · Answer 2 · 2020-10-19 16:22:16

180

Views

Geodesic between two matrices in the general linear group as a function of the two matrices.

Published on 19 Oct 2020 - 16:22

score 41 · Answer 3 · 2020-10-22 11:12:14

41

Views

Finding the length between two known points on a sphere (using parametrization)

Published on 22 Oct 2020 - 11:12

score 68 · Answer 4 · 2026-03-29 18:32:42

68

Views

Condition for a vector $\xi \in T_{\theta}TM$ to be in $T_{\theta}SM$

Published on 29 Mar 2026 - 18:32

score 233 · Answer 5 · 2026-03-25 13:05:05

233

Views

Can any vector be extended locally to a geodesic vector field?

Published on 25 Mar 2026 - 13:05

score 295 · Answer 6 · 2020-11-05 20:03:52

295

Views

Is every geodesic-preserving map of the sphere an isometry?

Published on 05 Nov 2020 - 20:03

score 163 · Answer 7 · 2020-11-06 15:11:59

163

Views

Are periodic geodesics always dense?

Published on 06 Nov 2020 - 15:11

score 750 · Answer 8 · 2020-11-06 20:05:23

750

Views

Is every geodesic-preserving diffeomorphism an isometry?

Published on 06 Nov 2020 - 20:05

score 455 · Answer 9 · 2020-11-09 20:45:56

455

Views

Orthogonality between geodesics and normal spheres in a Riemannian manifold

Published on 09 Nov 2020 - 20:45

score 309 · Answer 10 · 2020-11-11 13:32:48

309

Views

Derivation of geodesic on $m$-sphere $\gamma : \mathbb{R} \rightarrow S^m$ is given by $\gamma(t) = \cos(t |v|)p \ + \frac{\sin(t |v|)}{|v|} v$

Published on 11 Nov 2020 - 13:32

score 205 · Answer 11 · 2026-03-27 00:04:42

205

Views

Diffeomorphism from $n$-cone to $\mathbb{R}^{n+1}$ -- parametric equation of geodesic?

Published on 27 Mar 2026 - 0:04

score 135 · Answer 12 · 2020-11-15 00:15:56

135

Views

Sufficient condition on $f:\mathbb R \to \mathbb R$ to ensure the function $F:x \mapsto f(x^\top a)$ is geodesically convex on $n$-sphere

Published on 15 Nov 2020 - 0:15

score 279 · Answer 13 · 2026-03-28 12:02:48

279

Views

Parallel transport equation of a covariant component

Published on 28 Mar 2026 - 12:02

score 146 · Answer 14 · 2026-03-27 14:52:44

146

Views

Plane of symmetry and geodesics in surfaces

Published on 27 Mar 2026 - 14:52

score 110 · Answer 15 · 2026-03-26 20:59:24

110

Views

Usage/Application of Raychaudhuri equation in Riemann geometry or pure maths

Published on 26 Mar 2026 - 20:59

List Question

Find point of $n$-sphere after moving on geodesic by given angle

Geodesic between two matrices in the general linear group as a function of the two matrices.

Finding the length between two known points on a sphere (using parametrization)

Condition for a vector $\xi \in T_{\theta}TM$ to be in $T_{\theta}SM$

Can any vector be extended locally to a geodesic vector field?

Is every geodesic-preserving map of the sphere an isometry?

Are periodic geodesics always dense?

Is every geodesic-preserving diffeomorphism an isometry?

Orthogonality between geodesics and normal spheres in a Riemannian manifold

Derivation of geodesic on $m$-sphere $\gamma : \mathbb{R} \rightarrow S^m$ is given by $\gamma(t) = \cos(t |v|)p \ + \frac{\sin(t |v|)}{|v|} v$

Diffeomorphism from $n$-cone to $\mathbb{R}^{n+1}$ -- parametric equation of geodesic?

Sufficient condition on $f:\mathbb R \to \mathbb R$ to ensure the function $F:x \mapsto f(x^\top a)$ is geodesically convex on $n$-sphere

Parallel transport equation of a covariant component

Plane of symmetry and geodesics in surfaces

Usage/Application of Raychaudhuri equation in Riemann geometry or pure maths

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