List questions from vector-bundles

Published on 20 Jan 2017 - 10:15

437

Views

For a vector bundle $\xi:E\to M$, why is Trace a parallel section of the bundle $End(\xi)^*$?

Published on 27 Mar 2026 - 0:02

102

Views

Vector bundle obtained by a maximal compact subgroup

Published on 25 Mar 2026 - 23:35

729

Views

Triviality of vector bundles over Lie groups

Published on 23 Jan 2017 - 22:32

172

Views

Understanding the conservative property of a vector field

Published on 24 Jan 2017 - 1:00

283

Views

Do the Chern classes of a principal bundle depend on an embedding $G\hookrightarrow U(n)$?

Published on 25 Mar 2026 - 22:04

1.6k

Views

How to define a covariant derivative on a smooth vector bundle using only an Ehresmann connection?

Published on 27 Mar 2026 - 1:45

51

Views

In what spaces does the notion of a gradient field make sense?

Published on 25 Jan 2017 - 2:03

168

Views

Homotopy classes of maps into a direct limit of space

Published on 25 Mar 2026 - 20:15

105

Views

K-theory as elliptic complexes

Published on 25 Mar 2026 - 20:12

471

Views

Global section of vector bundle and induced morphism

Published on 01 Feb 2017 - 11:44

398

Views

How to visualise $\mathcal{O}(1)$ on $\mathbb{P}^1$

Published on 03 Feb 2017 - 11:49

912

Views

Definition of fiber-wise inner product on a complex vector bundle

Published on 06 Feb 2017 - 12:44

77

Views

Vector bundle homomorphism on $S^4$

Published on 09 Feb 2017 - 4:19

53

Views

Decomposition of exterior forms?

Published on 09 Feb 2017 - 16:48

List Question

About the determinant bundle

For a vector bundle $\xi:E\to M$, why is Trace a parallel section of the bundle $End(\xi)^*$?

Vector bundle obtained by a maximal compact subgroup

Triviality of vector bundles over Lie groups

Understanding the conservative property of a vector field

Do the Chern classes of a principal bundle depend on an embedding $G\hookrightarrow U(n)$?

How to define a covariant derivative on a smooth vector bundle using only an Ehresmann connection?

In what spaces does the notion of a gradient field make sense?

Homotopy classes of maps into a direct limit of space

K-theory as elliptic complexes

Global section of vector bundle and induced morphism

How to visualise $\mathcal{O}(1)$ on $\mathbb{P}^1$

Definition of fiber-wise inner product on a complex vector bundle

Vector bundle homomorphism on $S^4$

Decomposition of exterior forms?

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