List questions from smooth-manifolds

Published on 02 May 2020 - 20:00

1k

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Existence of a Parallel Orthonormal Frame Implies Manifold is Flat?

Published on 04 Apr 2026 - 4:09

345

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diffeomorphism which is not a translation of the integral curve for some vector field.

Published on 25 Mar 2026 - 15:43

292

Views

Differential using sheaves

Published on 25 Mar 2026 - 12:12

355

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How do I prove that a torus and a product of circles are diffeomorphic?

Published on 04 Apr 2026 - 4:11

216

Views

Intuition behind transversal intersection between manifolds

Published on 25 Mar 2026 - 11:12

390

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Proving the tangent map is linear

Published on 04 May 2020 - 2:28

35

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Commuting solenoidal fields

Published on 26 Mar 2026 - 4:28

335

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Time derivative of inverse of flow diffeomorphisms

Published on 04 Apr 2026 - 5:41

1.6k

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Lie derivative "commutes" with pullback by time dependent diffeomorphisms

Published on 04 Apr 2026 - 5:36

432

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Continuity of a map to show that differential is full rank in some open set.

Published on 05 Apr 2026 - 17:16

104

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$ \int_M fd\omega=\int_M i_V \omega ~d\omega$ where $M$ is a closed $2$-manifold, $\omega$ is $1$-form, $V$ is vector field, with $i_V d\omega=df$

Published on 30 Mar 2026 - 9:54

70

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An action of Lie group and cohomology

Published on 26 Mar 2026 - 17:32

90

Views

Is $\mathbb{P}^n(\mathbb{Q})$ a manifold?

Published on 05 Apr 2026 - 17:13

166

Views

Rescaling of a vector field and time reparametrization

Published on 30 Mar 2026 - 9:49

List Question

Proving A 2-Dimensional Manifold

Existence of a Parallel Orthonormal Frame Implies Manifold is Flat?

diffeomorphism which is not a translation of the integral curve for some vector field.

Differential using sheaves

How do I prove that a torus and a product of circles are diffeomorphic?

Intuition behind transversal intersection between manifolds

Proving the tangent map is linear

Commuting solenoidal fields

Time derivative of inverse of flow diffeomorphisms

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

Continuity of a map to show that differential is full rank in some open set.

$ \int_M fd\omega=\int_M i_V \omega ~d\omega$ where $M$ is a closed $2$-manifold, $\omega$ is $1$-form, $V$ is vector field, with $i_V d\omega=df$

An action of Lie group and cohomology

Is $\mathbb{P}^n(\mathbb{Q})$ a manifold?

Rescaling of a vector field and time reparametrization

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