Question

A volume form on the sphere which gives equal areas to all hemispheres is the standard one?

score 127 · Answer 1 · 2026-03-31 04:28:30

127

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A volume form on the sphere which gives equal areas to all hemispheres is the standard one?

Published on 31 Mar 2026 - 4:28

score 1.3k · Answer 2 · 2026-03-29 15:21:37

1.3k

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Geodesics on the 3-Sphere vs Hopf Circles

Published on 29 Mar 2026 - 15:21

score 409 · Answer 3 · 2026-03-31 04:28:47

409

Views

A volume form on the sphere which gives equal areas to all hemispheres is invariant under the antipodal map?

Published on 31 Mar 2026 - 4:28

score 109 · Answer 4 · 2017-10-23 19:13:23

109

Views

Integral of $\prod_{i=1}^n (\mathbf{x}\cdot \mathbf{u_i})\ \mathrm{d}\mathbf{x}$ over the ($n-1$)-sphere.

Published on 23 Oct 2017 - 19:13

score 49 · Answer 5 · 2026-03-29 21:53:12

49

Views

Finding an explicit isometry mapping a point to another on the unit sphere in $\mathbb{R}^n$

Published on 29 Mar 2026 - 21:53

score 1.6k · Answer 6 · 2017-10-30 03:46:23

1.6k

Views

Cylinder inscribed in a sphere [Pre-Calculus]

Published on 30 Oct 2017 - 3:46

score 1.5k · Answer 7 · 2017-10-30 19:24:13

1.5k

Views

Integrate 1/|r-r'| in 3 dimensions

Published on 30 Oct 2017 - 19:24

score 79 · Answer 8 · 2017-11-01 00:10:38

79

Views

Lines between point and sphere surface intersecting a plane

Published on 01 Nov 2017 - 0:10

score 256 · Answer 9 · 2026-03-29 23:38:44

256

Views

Constructing a metric with discrete isometries on the sphere

Published on 29 Mar 2026 - 23:38

score 1.9k · Answer 10 · 2017-11-02 09:56:25

1.9k

Views

Find the equation of the circle circumscribing the triangle formed by the three points $(a,0,0)$, $(0,b,0)$ and $(0,0,c)$.

Published on 02 Nov 2017 - 9:56

score 55 · Answer 11 · 2017-11-03 13:27:01

55

Views

sphere eversion

Published on 03 Nov 2017 - 13:27

score 2.7k · Answer 12 · 2017-11-07 17:16:07

2.7k

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What will be the radius of the common circle formed by intersection of two spheres of radii $r_1$ and $r_2$ that cut orthogonally.

Published on 07 Nov 2017 - 17:16

score 708 · Answer 13 · 2017-11-11 01:16:10

708

Views

Use Spherical Coordinates to Evaluate the Triple Integral

Published on 11 Nov 2017 - 1:16

score 1k · Answer 14 · 2017-11-14 13:58:24

1k

Views

2-sphere as a manifold example

Published on 14 Nov 2017 - 13:58

score 193 · Answer 15 · 2026-03-27 12:08:22

193

Views

Place $n$ points on hemisphere such that their distance in $\mathcal{R}^3$ is maximal?

Published on 27 Mar 2026 - 12:08

List Question

A volume form on the sphere which gives equal areas to all hemispheres is the standard one?

Geodesics on the 3-Sphere vs Hopf Circles

A volume form on the sphere which gives equal areas to all hemispheres is invariant under the antipodal map?

Integral of $\prod_{i=1}^n (\mathbf{x}\cdot \mathbf{u_i})\ \mathrm{d}\mathbf{x}$ over the ($n-1$)-sphere.

Finding an explicit isometry mapping a point to another on the unit sphere in $\mathbb{R}^n$

Cylinder inscribed in a sphere [Pre-Calculus]

Integrate 1/|r-r'| in 3 dimensions

Lines between point and sphere surface intersecting a plane

Constructing a metric with discrete isometries on the sphere

Find the equation of the circle circumscribing the triangle formed by the three points $(a,0,0)$, $(0,b,0)$ and $(0,0,c)$.

sphere eversion

What will be the radius of the common circle formed by intersection of two spheres of radii $r_1$ and $r_2$ that cut orthogonally.

Use Spherical Coordinates to Evaluate the Triple Integral

2-sphere as a manifold example

Place $n$ points on hemisphere such that their distance in $\mathcal{R}^3$ is maximal?

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