Question

A Curve is Geodesic iff it is Extremal to Energy Functional

score 1.2k · Answer 1 · 2018-12-15 13:55:23

1.2k

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A Curve is Geodesic iff it is Extremal to Energy Functional

Published on 15 Dec 2018 - 13:55

score 51 · Answer 2 · 2018-12-19 12:14:05

51

Views

Geodesic Dome defined parametrically

Published on 19 Dec 2018 - 12:14

score 767 · Answer 3 · 2018-12-21 22:54:57

767

Views

Geodesic on the catenoid

Published on 21 Dec 2018 - 22:54

score 312 · Answer 4 · 2018-12-23 21:34:46

312

Views

Simply connected manifold with nonpositive curvature has at most one geodesic between points

Published on 23 Dec 2018 - 21:34

score 52 · Answer 5 · 2018-12-26 15:11:02

52

Views

Geodesics with inverse accelerations in a submanifold

Published on 26 Dec 2018 - 15:11

score 182 · Answer 6 · 2026-03-25 01:26:15

182

Views

Geodesics in $\mathbb{R}^n$ with the trivial connection

Published on 25 Mar 2026 - 1:26

score 603 · Answer 7 · 2018-12-28 14:54:11

603

Views

Find the curve with the shortest path on a surface(geodesic)

Published on 28 Dec 2018 - 14:54

score 79 · Answer 8 · 2019-01-02 13:26:19

79

Views

geodesic metric in an ellipse

Published on 02 Jan 2019 - 13:26

score 47 · Answer 9 · 2019-01-03 03:40:32

Rate of change when moving on a sphere is the same in all directions. So why different leg lengths of triangles required for a geodesic dome?

score 197 · Answer 10 · 2019-01-07 13:26:38

197

Views

$f:M\rightarrow M$ is an isometry and $ker(Id - d_{\gamma(t)}f) = \mathbb{R} \dot{\gamma}(t)$, show that $\gamma$ is a geodesic

Published on 07 Jan 2019 - 13:26

score 150 · Answer 11 · 2026-03-25 04:40:24

150

Views

When do two different Jacobi Fields commute in the sense of the Lie Bracket?

Published on 25 Mar 2026 - 4:40

score 247 · Answer 12 · 2019-02-02 19:50:53

247

Views

Does parallel transport change the subspace?

Published on 02 Feb 2019 - 19:50

score 213 · Answer 13 · 2019-02-10 08:34:17

213

Views

How to derive the geodesic equations, via Euler Lagrange, from $L=\frac12 g_{ij}\dot x^i\dot x^j$?

Published on 10 Feb 2019 - 8:34

score 56 · Answer 14 · 2026-03-22 13:39:09

56

Views

Deduce the curvature of the manifold by probing it with geodesics

Published on 22 Mar 2026 - 13:39

score 887 · Answer 15 · 2019-02-17 17:38:46

887

Views

How to derive the Euler Lagrange equation for geodesics?

Published on 17 Feb 2019 - 17:38

List Question

A Curve is Geodesic iff it is Extremal to Energy Functional

Geodesic Dome defined parametrically

Geodesic on the catenoid

Simply connected manifold with nonpositive curvature has at most one geodesic between points

Geodesics with inverse accelerations in a submanifold

Geodesics in $\mathbb{R}^n$ with the trivial connection

Find the curve with the shortest path on a surface(geodesic)

geodesic metric in an ellipse

Rate of change when moving on a sphere is the same in all directions. So why different leg lengths of triangles required for a geodesic dome?

$f:M\rightarrow M$ is an isometry and $ker(Id - d_{\gamma(t)}f) = \mathbb{R} \dot{\gamma}(t)$, show that $\gamma$ is a geodesic

When do two different Jacobi Fields commute in the sense of the Lie Bracket?

Does parallel transport change the subspace?

How to derive the geodesic equations, via Euler Lagrange, from $L=\frac12 g_{ij}\dot x^i\dot x^j$?

Deduce the curvature of the manifold by probing it with geodesics

How to derive the Euler Lagrange equation for geodesics?

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