List questions from hopf-fibration

Published on 22 Apr 2014 - 13:24

213

Views

How do we understand and visualize the meridians of a 3-sphere?

Published on 25 Mar 2026 - 6:03

1.6k

Views

Metric on total space, connection and Hopf fibration

Published on 01 Sep 2014 - 17:41

161

Views

Lie Bracket, Hopf Fibration, independence of choice

Published on 25 Oct 2014 - 13:12

784

Views

The rotation group $SO(3)$ may be mapped to a $2$-sphere by sending a rotation matrix to its first column. How can I describe the fibres of the map?

Published on 24 Nov 2014 - 6:11

370

Views

fibration of complex projective space over quaternion projective space

Published on 29 Nov 2014 - 3:07

481

Views

Using Hopf fibration to calculate $\pi_{3} (S^2)$

Published on 06 Mar 2026 - 2:29

818

Views

How does the Hopf map generate $\pi_3(S^2)$?

Published on 23 Mar 2026 - 10:12

246

Views

Simple Characterization of the Hopf Fiberation as Cosets of the Circle Group (Stabilizer of a Point)

Published on 30 Nov 2019 - 16:00

529

Views

Proving Linkedness of Hopf Fibers

Published on 01 Dec 2019 - 21:20

331

Views

Hopf submersion

Published on 24 Mar 2026 - 17:13

709

Views

Why is the curvature of the connection $\bar{z_1}dz_1 + \bar{z_2}dz_2$ on the Hopf fibration not exact?

Published on 31 Dec 2019 - 18:19

80

Views

Seeing $\mathbb{S}^3$ as a pullback

Published on 16 Jan 2020 - 19:00

118

Views

What does the surface |z₁|² = |z₂|² look like?

Published on 04 Apr 2020 - 12:50

250

Views

How to get latitudinal tori using the inverse Hopf map?

Published on 12 Apr 2020 - 8:07

List Question

Is the Hopf fibration the only fibration with total space $S^{3}$?

How do we understand and visualize the meridians of a 3-sphere?

Metric on total space, connection and Hopf fibration

Lie Bracket, Hopf Fibration, independence of choice

The rotation group $SO(3)$ may be mapped to a $2$-sphere by sending a rotation matrix to its first column. How can I describe the fibres of the map?

fibration of complex projective space over quaternion projective space

Using Hopf fibration to calculate $\pi_{3} (S^2)$

How does the Hopf map generate $\pi_3(S^2)$?

Simple Characterization of the Hopf Fiberation as Cosets of the Circle Group (Stabilizer of a Point)

Proving Linkedness of Hopf Fibers

Hopf submersion

Why is the curvature of the connection $\bar{z_1}dz_1 + \bar{z_2}dz_2$ on the Hopf fibration not exact?

Seeing $\mathbb{S}^3$ as a pullback

What does the surface |z₁|² = |z₂|² look like?

How to get latitudinal tori using the inverse Hopf map?

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