Question

Tangent space of $RP^n$ vs the orthogonal complement to the line bundle $\gamma_n^1$

score 42 · Answer 1 · 2024-02-15 23:53:35

42

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Tangent space of $RP^n$ vs the orthogonal complement to the line bundle $\gamma_n^1$

Published on 15 Feb 2024 - 23:53

score 81 · Answer 2 · 2024-02-22 04:47:34

81

Views

Decomposition of the tangent bundle of a tensor product of vector bundles

Published on 22 Feb 2024 - 4:47

score 30 · Answer 3 · 2024-02-22 05:34:06

30

Views

Computing transition functions from trivial Whitney sum

Published on 22 Feb 2024 - 5:34

score 101 · Answer 4 · 2024-02-24 14:34:10

101

Views

Affine connection induced by connection map $K: TTM \to TM$

Published on 24 Feb 2024 - 14:34

score 67 · Answer 5 · 2024-02-26 04:55:06

67

Views

Intrinsic proof that sprays induce involutions

Published on 26 Feb 2024 - 4:55

score 187 · Answer 6 · 2024-02-27 20:49:34

187

Views

Tangent bundle of a sphere $T\mathbb S^n$ is diffeomorphic to $\mathbb S^n \times \mathbb S^n - \Delta$

Published on 27 Feb 2024 - 20:49

score 53 · Answer 7 · 2024-03-01 09:19:05

53

Views

Cartesian product of two manifolds and tangent spaces

Published on 01 Mar 2024 - 9:19

score 26 · Answer 8 · 2024-03-12 16:21:43

26

Views

Unable to visualize geodesic as an integral curve of a vector field in the tangent bundle.

Published on 12 Mar 2024 - 16:21

score 47 · Answer 9 · 2024-03-28 14:35:15

47

Views

Structure of a homogeneous vector bundle on the tangent bundle T(G/B)

Published on 28 Mar 2024 - 14:35

score 1.9k · Answer 10 · 2015-06-13 13:10:46

1.9k

Views

Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?

Published on 13 Jun 2015 - 13:10

score 1k · Answer 11 · 2013-11-08 01:24:52

1k

Views

Show that $S^n \times \mathbb R$ is parallelizable

Published on 08 Nov 2013 - 1:24

score 468 · Answer 12 · 2017-04-13 06:42:42

468

Views

Tangent bundle of open annulus is diffeomorphic to $\mathbb{S}^1 \times \mathbb{R}^3$

Published on 13 Apr 2017 - 6:42

score 1k · Answer 13 · 2017-04-13 07:20:22

1k

Views

Tangent bundle of mobius strip is diffeomorphic to $\mathbb{S}^1 \times \mathbb{R}^3$

Published on 13 Apr 2017 - 7:20

score 284 · Answer 14 · 2017-04-16 18:12:20

284

Views

A point in a differential manifold who's an extremum of a smooth function

Published on 16 Apr 2017 - 18:12

score 1.5k · Answer 15 · 2017-04-23 15:09:15

1.5k

Views

Tangent Bundle of $\mathbb{S}^{1}$.

Published on 23 Apr 2017 - 15:09

List Question

Tangent space of $RP^n$ vs the orthogonal complement to the line bundle $\gamma_n^1$

Decomposition of the tangent bundle of a tensor product of vector bundles

Computing transition functions from trivial Whitney sum

Affine connection induced by connection map $K: TTM \to TM$

Intrinsic proof that sprays induce involutions

Tangent bundle of a sphere $T\mathbb S^n$ is diffeomorphic to $\mathbb S^n \times \mathbb S^n - \Delta$

Cartesian product of two manifolds and tangent spaces

Unable to visualize geodesic as an integral curve of a vector field in the tangent bundle.

Structure of a homogeneous vector bundle on the tangent bundle T(G/B)

Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?

Show that $S^n \times \mathbb R$ is parallelizable

Tangent bundle of open annulus is diffeomorphic to $\mathbb{S}^1 \times \mathbb{R}^3$

Tangent bundle of mobius strip is diffeomorphic to $\mathbb{S}^1 \times \mathbb{R}^3$

A point in a differential manifold who's an extremum of a smooth function

Tangent Bundle of $\mathbb{S}^{1}$.

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