List questions from smooth-manifolds

Published on 25 Mar 2026 - 13:56

128

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Uniqueness of a "restriction" of a local operator $\alpha:\Gamma(E)\to \Gamma(F)$, where $E,F\to M$ are smooth vector bundles

Published on 29 Mar 2026 - 23:46

93

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Image of an open set under an injective immersion map is Borel measurable?

Published on 06 Apr 2026 - 10:56

55

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Well-definedness of ADM mass, energy, linear and angular momentum

Published on 25 Mar 2026 - 21:48

208

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Express the flow of $X + Y$ in terms of flow of $X$ and flow of $Y$

Published on 31 Mar 2026 - 4:37

207

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Identification of injective linear maps with image and inclusion

Published on 25 Mar 2026 - 18:53

55

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Domain issues in transformation of the coordinate representation of a function

Published on 23 Feb 2026 - 4:40

168

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What can we say if the gradient at the boundary has constant norm?

Published on 26 Mar 2026 - 8:14

39

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Smoothness of the flow associated to the one-parameter subgroup of Lie group

Published on 06 Apr 2026 - 19:32

81

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How this function defines a homeomorphism from $\mathbb B^n$ to itself?

Published on 26 Mar 2026 - 1:01

495

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Topology, atlas, smooth manifold

Published on 05 Jul 2016 - 19:02

125

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Regarding Problem 5 on p. 71 of Bredon's Topology and Geometry

Published on 30 Mar 2026 - 9:52

3.4k

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Is a bijective smooth function a diffeomorphism almost everywhere?

Published on 29 Mar 2026 - 17:24

460

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Topology of the tangent bundle

Published on 29 Mar 2026 - 23:45

107

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Munkres Problem: Define a $C^{\infty}$ map $f: \mathbb{R}^9 \to \mathbb{R}^6$ such that $O(3)$ is the solution of $f(x)=0$.

Published on 26 Mar 2026 - 8:23

List Question

What vector bundles are tangent bundles of smooth manifolds?

Uniqueness of a "restriction" of a local operator $\alpha:\Gamma(E)\to \Gamma(F)$, where $E,F\to M$ are smooth vector bundles

Image of an open set under an injective immersion map is Borel measurable?

Well-definedness of ADM mass, energy, linear and angular momentum

Express the flow of $X + Y$ in terms of flow of $X$ and flow of $Y$

Identification of injective linear maps with image and inclusion

Domain issues in transformation of the coordinate representation of a function

What can we say if the gradient at the boundary has constant norm?

Smoothness of the flow associated to the one-parameter subgroup of Lie group

How this function defines a homeomorphism from $\mathbb B^n$ to itself?

Topology, atlas, smooth manifold

Regarding Problem 5 on p. 71 of Bredon's Topology and Geometry

Is a bijective smooth function a diffeomorphism almost everywhere?

Topology of the tangent bundle

Munkres Problem: Define a $C^{\infty}$ map $f: \mathbb{R}^9 \to \mathbb{R}^6$ such that $O(3)$ is the solution of $f(x)=0$.

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