Question

Description of the difference tensor between a non-metric torsion-free connection and the Levi-Civita connection

score 250 · Answer 1 · 2022-02-16 15:02:05

250

Views

Description of the difference tensor between a non-metric torsion-free connection and the Levi-Civita connection

Published on 16 Feb 2022 - 15:02

score 138 · Answer 2 · 2026-03-28 10:55:40

138

Views

Connection on a principal $S^1$ bundle

Published on 28 Mar 2026 - 10:55

score 141 · Answer 3 · 2022-02-23 10:05:12

141

Views

Confusion regarding connection form

Published on 23 Feb 2022 - 10:05

score 220 · Answer 4 · 2026-03-26 21:26:05

220

Views

Confusion regarding definition of gauge transformation

Published on 26 Mar 2026 - 21:26

score 168 · Answer 5 · 2026-03-28 10:56:25

168

Views

How do we go from a covariant derivative on a principal bundle to a covariant derivative on an associated bundle

Published on 28 Mar 2026 - 10:56

score 29 · Answer 6 · 2022-03-01 11:55:58

29

Views

How to use the definition of the extension of $\nabla (X)$ to $T^{0,2}$ to prove a claim about it

Published on 01 Mar 2022 - 11:55

score 662 · Answer 7 · 2026-03-27 05:58:03

662

Views

Reading off connection 1-forms from Cartan's structural equation $de=-\omega\wedge e$

Published on 27 Mar 2026 - 5:58

score 45 · Answer 8 · 2026-03-26 02:55:54

45

Views

Producing new connections out of given one

Published on 26 Mar 2026 - 2:55

score 182 · Answer 9 · 2022-03-14 12:21:14

182

Views

Tangent bundle of a tensor product bundle

Published on 14 Mar 2022 - 12:21

score 48 · Answer 10 · 2022-03-14 15:07:08

48

Views

What is $dy$ in the 1-form $\alpha |_y := ([\beta,y],dy) $

Published on 14 Mar 2022 - 15:07

score 235 · Answer 11 · 2026-02-23 16:57:11

235

Views

Exterior covariant derivative on associated bundle

Published on 23 Feb 2026 - 16:57

score 39 · Answer 12 · 2022-03-19 12:02:59

Equivalence between connections on $\mathcal{E}$ and $\mathcal{P}^1$-linear isomorphisms that induce the identity modulo $\Omega^1_{X|S}$

score 73 · Answer 13 · 2026-02-23 01:18:56

73

Views

Alternative expression for Riemann curvature tensor

Published on 23 Feb 2026 - 1:18

score 79 · Answer 14 · 2022-03-23 10:37:03

79

Views

Easy example of a stable pair in the sense of Hitchin

Published on 23 Mar 2022 - 10:37

score 266 · Answer 15 · 2026-03-26 17:52:31

266

Views

What is / why the connection one-form from a physics point of view?

Published on 26 Mar 2026 - 17:52

List Question

Description of the difference tensor between a non-metric torsion-free connection and the Levi-Civita connection

Connection on a principal $S^1$ bundle

Confusion regarding connection form

Confusion regarding definition of gauge transformation

How do we go from a covariant derivative on a principal bundle to a covariant derivative on an associated bundle

How to use the definition of the extension of $\nabla (X)$ to $T^{0,2}$ to prove a claim about it

Reading off connection 1-forms from Cartan's structural equation $de=-\omega\wedge e$

Producing new connections out of given one

Tangent bundle of a tensor product bundle

What is $dy$ in the 1-form $\alpha |_y := ([\beta,y],dy) $

Exterior covariant derivative on associated bundle

Equivalence between connections on $\mathcal{E}$ and $\mathcal{P}^1$-linear isomorphisms that induce the identity modulo $\Omega^1_{X|S}$

Alternative expression for Riemann curvature tensor

Easy example of a stable pair in the sense of Hitchin

What is / why the connection one-form from a physics point of view?

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