List questions from tangent-bundle

Published on 19 Oct 2017 - 16:55

260

Views

Can the tangent bundle $TM$ be considered as the product manifold of $M$ and its tangent planes?

Published on 20 Oct 2017 - 8:00

171

Views

Is $\xi$ tangent to the unit 2-sphere $S^2$?

Published on 20 Oct 2017 - 12:07

678

Views

If $M$ is a compact manifold, how to prove that the unitary tangent bundle is also compact?

Published on 22 Oct 2017 - 3:22

258

Views

Differentiable structure in the unit tangent bundle

Published on 23 Oct 2017 - 18:20

447

Views

Tangent bundle of a product of smooth manifolds diffeomorphic to product of the tangent bundles of manifolds

Published on 15 Nov 2017 - 12:53

30

Views

definition of $T^*M$

Published on 29 Nov 2017 - 14:14

611

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Write two vector bundles of $S^1$, not diffeomorphic between them

Published on 25 Mar 2026 - 16:12

38

Views

Smooth curve on $TM$

Published on 04 Dec 2017 - 14:45

1k

Views

Why don't we consider "Hamiltonian vector field" on tangent bundle?

Published on 11 Dec 2017 - 15:45

483

Views

Confused about the definition of tangent and conormal sheaf on a scheme

Published on 20 Dec 2017 - 18:02

1.1k

Views

Relation between Riemannian metric and Hermitian structure.

Published on 25 Mar 2026 - 22:10

115

Views

Curvature of Orthonormal Frame for Parametrized Surface

Published on 09 Jan 2018 - 10:03

41

Views

Question about the differential of a function and tangent vectors.

Published on 13 Jan 2018 - 2:45

13.5k

Views

Why is the tangent bundle orientable?

Published on 09 Apr 2012 - 3:33

List Question

Derivative of unit normal vector is tangential

Can the tangent bundle $TM$ be considered as the product manifold of $M$ and its tangent planes?

Is $\xi$ tangent to the unit 2-sphere $S^2$?

If $M$ is a compact manifold, how to prove that the unitary tangent bundle is also compact?

Differentiable structure in the unit tangent bundle

Tangent bundle of a product of smooth manifolds diffeomorphic to product of the tangent bundles of manifolds

definition of $T^*M$

Write two vector bundles of $S^1$, not diffeomorphic between them

Smooth curve on $TM$

Why don't we consider "Hamiltonian vector field" on tangent bundle?

Confused about the definition of tangent and conormal sheaf on a scheme

Relation between Riemannian metric and Hermitian structure.

Curvature of Orthonormal Frame for Parametrized Surface

Question about the differential of a function and tangent vectors.

Why is the tangent bundle orientable?

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