List questions from smooth-manifolds

Published on 25 Mar 2026 - 9:26

156

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Is union of matrices of different ranks a submanifold?

Published on 22 Mar 2026 - 18:54

472

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On charts of Grassmanian manifolds

Published on 25 Mar 2026 - 3:03

61

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Confusion about the definition of an n-differentiable manifold in Bredon's book “Topology and Geometry”

Published on 26 Mar 2026 - 17:53

589

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Is the image of an equivariant map always a weakly embedded submanifold?

Published on 19 Mar 2026 - 23:58

192

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Is "immersion by parts" on a union of submanifolds an immersion?

Published on 25 Mar 2026 - 1:18

69

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Help for a clearer solution: $k$-form $\omega$ is smooth if only if it is smooth as a map $\omega \colon M\rightarrow \Lambda ^k(M)$

Published on 26 Mar 2026 - 0:53

39

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Show that $\mathcal{T}_{(r,s)} \cong {\frak{M}}_{(r,s)}$.

Published on 25 Mar 2026 - 9:38

101

Views

Existence of an exhaustion with intrinsically-bounded regular domains

Published on 26 Mar 2026 - 0:53

104

Views

Transitivity of submanifolds

Published on 27 Mar 2026 - 7:20

420

Views

Is every diffeomorphism of the n-torus isotopic to a linear one?

Published on 25 Mar 2026 - 12:40

183

Views

Local coordinates of a vector field; derivative wrt 1-forms

Published on 25 Mar 2026 - 22:23

334

Views

Subtracting a disk or a point from a manifold yields the same result

Published on 27 Mar 2026 - 7:14

110

Views

Decomposition of Matrix Representation of a Parallelizable Riemannian Metric

Published on 25 Mar 2026 - 12:40

529

Views

On the definition of a vector field on manifolds.

Published on 26 Mar 2026 - 21:26

List Question

Help to correct answer: Product of orientable manifolds is orientable

Is union of matrices of different ranks a submanifold?

On charts of Grassmanian manifolds

Confusion about the definition of an n-differentiable manifold in Bredon's book “Topology and Geometry”

Is the image of an equivariant map always a weakly embedded submanifold?

Is "immersion by parts" on a union of submanifolds an immersion?

Help for a clearer solution: $k$-form $\omega$ is smooth if only if it is smooth as a map $\omega \colon M\rightarrow \Lambda ^k(M)$

Show that $\mathcal{T}_{(r,s)} \cong {\frak{M}}_{(r,s)}$.

Existence of an exhaustion with intrinsically-bounded regular domains

Transitivity of submanifolds

Is every diffeomorphism of the n-torus isotopic to a linear one?

Local coordinates of a vector field; derivative wrt 1-forms

Subtracting a disk or a point from a manifold yields the same result

Decomposition of Matrix Representation of a Parallelizable Riemannian Metric

On the definition of a vector field on manifolds.

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