List questions from spheres

Published on 01 Dec 2017 - 0:29

123

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$\mathbb{R}^{n+1}\setminus\{0\}\rightarrow S^n$ is a submersion

Published on 26 Mar 2026 - 12:35

341

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$(X_1,X_2,X_3)$ is a global frame on $S^3$

Published on 02 Dec 2017 - 12:05

284

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$\tilde{f}:\mathbb{P}^2(\mathbb{R})\rightarrow\mathbb{R}^6$ injective immersion

Published on 02 Dec 2017 - 17:55

552

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Prove that $\pi:S^3\rightarrow \mathbb{P}^1(\mathbb{C})\cong S^2$ is a submersion

Published on 25 Mar 2026 - 17:37

100

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On the fundamental domain of an action

Published on 30 Mar 2026 - 1:13

258

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$p_n(z)=z^n$ is a smooth map on $S^1$

Published on 25 Mar 2026 - 17:39

517

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What's $\omega_n$ in $\omega_n r^{n-1}$ for area of sphere?

Published on 06 Dec 2017 - 20:29

270

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How to calculate the surface area of a sphere cutting off two intersecting perpendicular caps?

Published on 06 Dec 2017 - 23:05

111

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On the minimum distance along an orbit

Published on 30 Mar 2026 - 1:12

2.5k

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Parameterizing a hemisphere: Why are these the values of phi and theta?

Published on 28 Mar 2026 - 15:26

60

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Difference between distance to a sphere and to its center

Published on 15 Dec 2017 - 20:11

246

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The volume of an N-dimensional ball in Euclidean space with radius that grows with N

Published on 16 Dec 2017 - 1:41

460

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Intuitive demonstration of the formula giving the surface of a sphere.

Published on 16 Dec 2017 - 14:25

3.4k

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Computing surface area/volume of spherical pyramid

Published on 16 Dec 2017 - 21:31

List Question

Distance to an equator

$\mathbb{R}^{n+1}\setminus\{0\}\rightarrow S^n$ is a submersion

$(X_1,X_2,X_3)$ is a global frame on $S^3$

$\tilde{f}:\mathbb{P}^2(\mathbb{R})\rightarrow\mathbb{R}^6$ injective immersion

Prove that $\pi:S^3\rightarrow \mathbb{P}^1(\mathbb{C})\cong S^2$ is a submersion

On the fundamental domain of an action

$p_n(z)=z^n$ is a smooth map on $S^1$

What's $\omega_n$ in $\omega_n r^{n-1}$ for area of sphere?

How to calculate the surface area of a sphere cutting off two intersecting perpendicular caps?

On the minimum distance along an orbit

Parameterizing a hemisphere: Why are these the values of phi and theta?

Difference between distance to a sphere and to its center

The volume of an N-dimensional ball in Euclidean space with radius that grows with N

Intuitive demonstration of the formula giving the surface of a sphere.

Computing surface area/volume of spherical pyramid

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