Question

Prove that if the cone is cut along a generator and flattened into a plane, then the geodesic becomes a straight line.

score 23 · Answer 1 · 2023-07-05 17:13:20

23

Views

Prove that if the cone is cut along a generator and flattened into a plane, then the geodesic becomes a straight line.

Published on 05 Jul 2023 - 17:13

score 81 · Answer 2 · 2026-03-25 17:21:35

81

Views

Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

Published on 25 Mar 2026 - 17:21

score 100 · Answer 3 · 2026-03-27 08:39:58

100

Views

Ray Tracing In Mathematical Spaces

Published on 27 Mar 2026 - 8:39

score 79 · Answer 4 · 2023-07-06 22:21:55

79

Views

Can Jacobi Fields be used to explicitly calculate Lyapunov exponents for geodesic flows?

Published on 06 Jul 2023 - 22:21

score 78 · Answer 5 · 2026-03-25 07:41:05

78

Views

Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Published on 25 Mar 2026 - 7:41

score 105 · Answer 6 · 2023-07-13 07:08:02

105

Views

Area of a triangle on a torus

Published on 13 Jul 2023 - 7:08

score 106 · Answer 7 · 2023-07-13 14:17:36

106

Views

Implications of requiring that one-parameter subgroups of a Lie group be geodesics of a Riemannian metric

Published on 13 Jul 2023 - 14:17

score 134 · Answer 8 · 2023-07-14 18:32:25

134

Views

Reparametrization of geodesics (especially in the context of geodesic flow)

Published on 14 Jul 2023 - 18:32

score 86 · Answer 9 · 2026-03-26 01:04:31

86

Views

Existence of geodesically convex neighborhoods in semi-Riemannian manifolds.

Published on 26 Mar 2026 - 1:04

score 29 · Answer 10 · 2023-07-27 15:10:24

29

Views

Implications of requiring that a family of curves in a Lie group be geodesics of a Riemannian metric

Published on 27 Jul 2023 - 15:10

score 133 · Answer 11 · 2023-07-28 15:52:34

133

Views

Geodesics in the Hyperboloid Model

Published on 28 Jul 2023 - 15:52

score 41 · Answer 12 · 2023-08-03 06:14:27

41

Views

Properties of exponential map of convex sum of metrics

Published on 03 Aug 2023 - 6:14

score 87 · Answer 13 · 2023-08-03 07:58:32

87

Views

Totally geodesic diffeomorphism and isometry.

Published on 03 Aug 2023 - 7:58

score 205 · Answer 14 · 2023-08-03 18:15:47

205

Views

Examples and characterizations of totally geodesic maps

Published on 03 Aug 2023 - 18:15

score 82 · Answer 15 · 2023-08-07 13:06:26

82

Views

Geodesics without calculus of variations

Published on 07 Aug 2023 - 13:06

List Question

Prove that if the cone is cut along a generator and flattened into a plane, then the geodesic becomes a straight line.

Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

Ray Tracing In Mathematical Spaces

Can Jacobi Fields be used to explicitly calculate Lyapunov exponents for geodesic flows?

Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Area of a triangle on a torus

Implications of requiring that one-parameter subgroups of a Lie group be geodesics of a Riemannian metric

Reparametrization of geodesics (especially in the context of geodesic flow)

Existence of geodesically convex neighborhoods in semi-Riemannian manifolds.

Implications of requiring that a family of curves in a Lie group be geodesics of a Riemannian metric

Geodesics in the Hyperboloid Model

Properties of exponential map of convex sum of metrics

Totally geodesic diffeomorphism and isometry.

Examples and characterizations of totally geodesic maps

Geodesics without calculus of variations

Trending Questions

Popular # Hahtags

Popular Questions