List questions from tangent-bundle

Published on 14 Apr 2026 - 10:02

58

Views

A topological problem in defining the tangent bundle

Published on 12 Apr 2026 - 14:11

50

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$dL_g(1)$ is a section of a tangent bundle

Published on 14 Apr 2026 - 20:40

85

Views

Smooth structure and vector bundle structure on $L_{alt}^k(TM)$

Published on 15 Apr 2026 - 14:55

125

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The Grassmannian has a non-orientable tangent bundle (in a certain sense)

Published on 15 Apr 2026 - 3:23

86

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Showing product of two transversal maps is a transversal

Published on 13 Apr 2026 - 8:42

170

Views

The complex structure on $T\mathbb C^n$

Published on 12 Apr 2026 - 3:51

261

Views

Are these definitions of a differential form equivalent?

Published on 16 Apr 2026 - 5:32

174

Views

If $TM$ is trivial, then $\Lambda^n(M)$ is also trivial and $M$ is orientable

Published on 15 Apr 2026 - 22:01

909

Views

Example of a parallelizable smooth manifold which is not a Lie Group

Published on 12 Apr 2026 - 19:15

185

Views

Geodesics in $\mathbb{R}^n$ with the trivial connection

Published on 10 May 2026 - 18:43

87

Views

Notation: gradient as vector field

Published on 16 Apr 2026 - 5:10

60

Views

Algebraic Groups, dual numbers and differentials

Published on 13 Apr 2026 - 4:01

404

Views

Orientation of a Manifold with Trivial Tangential Bundle

Published on 10 May 2026 - 19:03

255

Views

Completeness of the tangent bundle of riemannian manifold

Published on 11 Apr 2026 - 19:40

List Question

Diffeomorphism between $TM$ and $M\times R^n$

A topological problem in defining the tangent bundle

$dL_g(1)$ is a section of a tangent bundle

Smooth structure and vector bundle structure on $L_{alt}^k(TM)$

The Grassmannian has a non-orientable tangent bundle (in a certain sense)

Showing product of two transversal maps is a transversal

The complex structure on $T\mathbb C^n$

Are these definitions of a differential form equivalent?

If $TM$ is trivial, then $\Lambda^n(M)$ is also trivial and $M$ is orientable

Example of a parallelizable smooth manifold which is not a Lie Group

Geodesics in $\mathbb{R}^n$ with the trivial connection

Notation: gradient as vector field

Algebraic Groups, dual numbers and differentials

Orientation of a Manifold with Trivial Tangential Bundle

Completeness of the tangent bundle of riemannian manifold

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