Question

The tangent bundle as an embedded submanifold when $M$ is an embedded manifold

score 82 · Answer 1 · 2023-03-25 01:21:36

82

Views

The tangent bundle as an embedded submanifold when $M$ is an embedded manifold

Published on 25 Mar 2023 - 1:21

score 205 · Answer 2 · 2026-02-23 15:11:06

205

Views

Pullback of tangent bundle of codomain induced by a submersion is a quotient of tangent bundle of domain

Published on 23 Feb 2026 - 15:11

score 33 · Answer 3 · 2023-04-21 17:54:13

33

Views

Does there exist $X$, $k$, $M$ such that $N(X)$ is diffeomorphic to open punctured unit ball.

Published on 21 Apr 2023 - 17:54

score 37 · Answer 4 · 2026-03-25 11:12:05

37

Views

Obstructions to smooth extending the smooth distribution from the boundary.

Published on 25 Mar 2026 - 11:12

score 127 · Answer 5 · 2026-03-25 14:19:56

127

Views

Tangent Space under (linear) Transformation

Published on 25 Mar 2026 - 14:19

score 103 · Answer 6 · 2023-05-09 15:39:18

103

Views

Tangent bundle of a fibered product

Published on 09 May 2023 - 15:39

score 32 · Answer 7 · 2023-06-29 12:44:59

32

Views

Coordinate transformations of the tangent bundle as a manifold.

Published on 29 Jun 2023 - 12:44

score 80 · Answer 8 · 2023-07-05 11:03:17

80

Views

Normal space of orthogonal matrix.

Published on 05 Jul 2023 - 11:03

score 94 · Answer 9 · 2023-07-05 17:49:44

94

Views

On Bishop's 'Tensor Analysis on Manifolds' Problem 6.3.3 (canonical lift into double tangent bundle ends up in secondary bundle structure)

Published on 05 Jul 2023 - 17:49

score 80 · Answer 10 · 2023-07-06 20:46:32

80

Views

Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

Published on 06 Jul 2023 - 20:46

score 25 · Answer 11 · 2026-03-25 11:05:13

25

Views

direction tangent bundle of $S^2$ homeomorphism

Published on 25 Mar 2026 - 11:05

score 78 · Answer 12 · 2023-07-10 20:43:51

78

Views

Nonequivalent fiber bundles with the same total space, base space, and fiber

Published on 10 Jul 2023 - 20:43

score 143 · Answer 13 · 2023-07-13 15:27:07

143

Views

Derivative of a curve on tangent bundle $TQ$ and second-order equations (where is the acceleration?)

Published on 13 Jul 2023 - 15:27

score 19 · Answer 14 · 2023-07-20 03:07:16

19

Views

Is the isomorphism type of $TM$ as a topological vector bundle determined by the homeomorphism type of $M$?

Published on 20 Jul 2023 - 3:07

score 50 · Answer 15 · 2023-07-20 20:43:58

50

Views

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 4.3-3. (orientability of product manifold)

Published on 20 Jul 2023 - 20:43

List Question

The tangent bundle as an embedded submanifold when $M$ is an embedded manifold

Pullback of tangent bundle of codomain induced by a submersion is a quotient of tangent bundle of domain

Does there exist $X$, $k$, $M$ such that $N(X)$ is diffeomorphic to open punctured unit ball.

Obstructions to smooth extending the smooth distribution from the boundary.

Tangent Space under (linear) Transformation

Tangent bundle of a fibered product

Coordinate transformations of the tangent bundle as a manifold.

Normal space of orthogonal matrix.

On Bishop's 'Tensor Analysis on Manifolds' Problem 6.3.3 (canonical lift into double tangent bundle ends up in secondary bundle structure)

Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

direction tangent bundle of $S^2$ homeomorphism

Nonequivalent fiber bundles with the same total space, base space, and fiber

Derivative of a curve on tangent bundle $TQ$ and second-order equations (where is the acceleration?)

Is the isomorphism type of $TM$ as a topological vector bundle determined by the homeomorphism type of $M$?

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 4.3-3. (orientability of product manifold)

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