Question

Prove the existence (or well-definedness) of the induced connection in tensor bundle

score 1.5k · Answer 1 · 2026-03-26 04:14:38

1.5k

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Prove the existence (or well-definedness) of the induced connection in tensor bundle

Published on 26 Mar 2026 - 4:14

score 571 · Answer 2 · 2014-06-05 11:57:11

571

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The pullback of a nontrivial line bundle is nontrivial?

Published on 05 Jun 2014 - 11:57

score 267 · Answer 3 · 2026-03-25 01:13:07

267

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Structures on vector bundles

Published on 25 Mar 2026 - 1:13

score 257 · Answer 4 · 2026-03-25 20:58:00

257

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Is the following situation about first Chern numbers possible?

Published on 25 Mar 2026 - 20:58

score 1.8k · Answer 5 · 2026-03-26 04:14:35

1.8k

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Splitting of the tangent bundle of a vector bundle and connections

Published on 26 Mar 2026 - 4:14

score 1.2k · Answer 6 · 2026-03-26 06:02:52

1.2k

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Characteristic classes for quaternionic bundles

Published on 26 Mar 2026 - 6:02

score 216 · Answer 7 · 2026-03-25 12:52:27

216

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Characteristic classes not defined on vector bundles

Published on 25 Mar 2026 - 12:52

score 183 · Answer 8 · 2014-06-25 06:47:31

183

Views

Is this a tangent bundle and what is the meaning of this exercise

Published on 25 Jun 2014 - 6:47

score 478 · Answer 9 · 2014-06-25 22:12:09

478

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An extension of line bundles splits locally

Published on 25 Jun 2014 - 22:12

score 105 · Answer 10 · 2026-03-25 14:23:47

105

Views

Holonomy group as a quotient group of $\text{GL}(k,\mathbb{R})$

Published on 25 Mar 2026 - 14:23

score 422 · Answer 11 · 2026-03-26 23:10:58

422

Views

Any non-zero homomorphism of holomorphic vector bundles over a compact Riemann surface factors through a maximal rank homomorphism

Published on 26 Mar 2026 - 23:10

score 291 · Answer 12 · 2014-07-02 19:02:34

291

Views

Are vector bundles just modules over $C^{\infty}(M)$, or are "locality" conditions required?

Published on 02 Jul 2014 - 19:02

score 188 · Answer 13 · 2026-03-25 01:17:09

188

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Working out the details of example 1.13 Hatcher: $\ E_{fg}\oplus n \approx E_f \oplus E_g$

Published on 25 Mar 2026 - 1:17

score 131 · Answer 14 · 2014-07-07 14:03:08

131

Views

Why doesn't a metric give an isomorphism $TX \cong T^*X$?

Published on 07 Jul 2014 - 14:03

score 249 · Answer 15 · 2014-07-07 17:04:04

249

Views

Euler class of quotient bundle of real projective space

Published on 07 Jul 2014 - 17:04

List Question

Prove the existence (or well-definedness) of the induced connection in tensor bundle

The pullback of a nontrivial line bundle is nontrivial?

Structures on vector bundles

Is the following situation about first Chern numbers possible?

Splitting of the tangent bundle of a vector bundle and connections

Characteristic classes for quaternionic bundles

Characteristic classes not defined on vector bundles

Is this a tangent bundle and what is the meaning of this exercise

An extension of line bundles splits locally

Holonomy group as a quotient group of $\text{GL}(k,\mathbb{R})$

Any non-zero homomorphism of holomorphic vector bundles over a compact Riemann surface factors through a maximal rank homomorphism

Are vector bundles just modules over $C^{\infty}(M)$, or are "locality" conditions required?

Working out the details of example 1.13 Hatcher: $\ E_{fg}\oplus n \approx E_f \oplus E_g$

Why doesn't a metric give an isomorphism $TX \cong T^*X$?

Euler class of quotient bundle of real projective space

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