Question

First order variation of length of geodesics

score 62 · Answer 1 · 2026-02-23 17:28:18

62

Views

First order variation of length of geodesics

Published on 23 Feb 2026 - 17:28

score 101 · Answer 2 · 2026-03-26 06:31:14

101

Views

Exponential map of an $SO(n)$-invariant metric on $\mathbb R^n$ is diffeomorphism

Published on 26 Mar 2026 - 6:31

score 70 · Answer 3 · 2026-03-27 04:15:17

70

Views

Length between two points on an arbitrary surface

Published on 27 Mar 2026 - 4:15

score 49 · Answer 4 · 2024-01-04 13:37:59

49

Views

When are geodesic triangles well-defined?

Published on 04 Jan 2024 - 13:37

score 38 · Answer 5 · 2024-01-04 16:53:55

38

Views

The derivative with respect to $\theta$ of the image of exponential of circle parametrization on the tangent space is a Jacobi field

Published on 04 Jan 2024 - 16:53

score 60 · Answer 6 · 2024-01-04 17:14:59

60

Views

Is $\vec{0}$ a geodesic? (specifically in $\Bbb{R}^3$ but also in the general case)

Published on 04 Jan 2024 - 17:14

score 53 · Answer 7 · 2026-03-26 03:01:35

53

Views

Characterization of the Levi-Civita connection through length-extremization property of geodesics

Published on 26 Mar 2026 - 3:01

score 42 · Answer 8 · 2024-01-10 13:53:54

42

Views

Distance formula in $S^2 \times S^2$

Published on 10 Jan 2024 - 13:53

score 60 · Answer 9 · 2024-01-10 14:13:25

60

Views

Computing a curve on a surface which has constant geodesic curvature

Published on 10 Jan 2024 - 14:13

score 74 · Answer 10 · 2024-01-13 05:45:00

74

Views

Understand the geodesic, $\gamma$, induced by an abelian form $\omega$ and their integral

Published on 13 Jan 2024 - 5:45

score 59 · Answer 11 · 2024-02-04 21:21:23

59

Views

Second derivative of function evaluated along a curve on a Riemannian manifold

Published on 04 Feb 2024 - 21:21

score 20 · Answer 12 · 2026-03-25 07:47:51

20

Views

How is the distance between a point and a polygon boundary computed in a spherical or ellipsoidal coordinate system?

Published on 25 Mar 2026 - 7:47

score 56 · Answer 13 · 2024-02-13 08:22:05

56

Views

The existence of a larger compact set containing all minimising geodesics of a compact subset

Published on 13 Feb 2024 - 8:22

score 61 · Answer 14 · 2024-02-20 08:48:28

61

Views

Lagrange eq is the geodesic equation if and only if the curve is parametrized by constant speed $∥\dot\gamma (t)∥$

Published on 20 Feb 2024 - 8:48

score 36 · Answer 15 · 2024-02-26 18:59:32

36

Views

Simple examples distinguishing conformal equivalence from projective equivalence?

Published on 26 Feb 2024 - 18:59

List Question

First order variation of length of geodesics

Exponential map of an $SO(n)$-invariant metric on $\mathbb R^n$ is diffeomorphism

Length between two points on an arbitrary surface

When are geodesic triangles well-defined?

The derivative with respect to $\theta$ of the image of exponential of circle parametrization on the tangent space is a Jacobi field

Is $\vec{0}$ a geodesic? (specifically in $\Bbb{R}^3$ but also in the general case)

Characterization of the Levi-Civita connection through length-extremization property of geodesics

Distance formula in $S^2 \times S^2$

Computing a curve on a surface which has constant geodesic curvature

Understand the geodesic, $\gamma$, induced by an abelian form $\omega$ and their integral

Second derivative of function evaluated along a curve on a Riemannian manifold

How is the distance between a point and a polygon boundary computed in a spherical or ellipsoidal coordinate system?

The existence of a larger compact set containing all minimising geodesics of a compact subset

Lagrange eq is the geodesic equation if and only if the curve is parametrized by constant speed $∥\dot\gamma (t)∥$

Simple examples distinguishing conformal equivalence from projective equivalence?

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