List questions from fiber-bundles

Published on 16 Nov 2017 - 20:14

42

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Exact homology sequences induce exact cohomology sequences

Published on 16 Nov 2017 - 23:38

111

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Derivative of fiber bundles

Published on 17 Nov 2017 - 10:08

40

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Let be $\pi : U(2) \to \mathbb{S^3}$ the fibre bundle, defined by $A = (a , b ) \mapsto b$. Does it have a section?

Published on 18 Nov 2017 - 22:15

173

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Universal covariant derivative decomposition (Cartan geometry)

Published on 23 Feb 2026 - 2:46

52

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Fiber bundle over $SL_2(\mathbb C)/\mathbb C^*$

Published on 22 Nov 2017 - 2:51

397

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local trivialization of quotient manifold map

Published on 22 Nov 2017 - 21:00

246

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Can a smooth fiber bundle with one-dimensional simply conected base space have a curved connection?

Published on 29 Mar 2026 - 12:12

395

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Connection on fiber bundle of generic fiber

Published on 29 Mar 2026 - 12:05

62

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Is there a connection between $T_x M$ and $T_{\pi(x)} N$, where $M$ is a fiber bundle over $N$?

Published on 02 Dec 2017 - 9:13

160

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Question about notation used to denote Hirzebruch surfaces

Published on 03 Dec 2017 - 20:16

895

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How do you formulate the linearity condition for a covariant derivative on a vector bundle in terms of parallel transport?

Published on 29 Mar 2026 - 12:12

190

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Fibre bundle over product space

Published on 04 Dec 2017 - 16:19

76

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What is meant by an Orthogonal $1$-form

Published on 26 Mar 2026 - 4:31

35

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Proving $T\mathbb{C}P^n\oplus(\mathbb{C}\times\mathbb{C}P^n)\cong\oplus_{i=1}^{n+1}\mathcal{O}(1)$

Published on 11 Dec 2017 - 14:35

List Question

Locally trivial fibration $S^1\to S^1$

Exact homology sequences induce exact cohomology sequences

Derivative of fiber bundles

Let be $\pi : U(2) \to \mathbb{S^3}$ the fibre bundle, defined by $A = (a , b ) \mapsto b$. Does it have a section?

Universal covariant derivative decomposition (Cartan geometry)

Fiber bundle over $SL_2(\mathbb C)/\mathbb C^*$

local trivialization of quotient manifold map

Can a smooth fiber bundle with one-dimensional simply conected base space have a curved connection?

Connection on fiber bundle of generic fiber

Is there a connection between $T_x M$ and $T_{\pi(x)} N$, where $M$ is a fiber bundle over $N$?

Question about notation used to denote Hirzebruch surfaces

How do you formulate the linearity condition for a covariant derivative on a vector bundle in terms of parallel transport?

Fibre bundle over product space

What is meant by an Orthogonal $1$-form

Proving $T\mathbb{C}P^n\oplus(\mathbb{C}\times\mathbb{C}P^n)\cong\oplus_{i=1}^{n+1}\mathcal{O}(1)$

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