List questions from smooth-manifolds

Published on 29 Mar 2026 - 17:24

38

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What is the ring and does $\phi^*$ preserves module operations

Published on 25 Mar 2026 - 12:42

43

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Differential of element in the stabiliser

Published on 29 Mar 2026 - 12:04

285

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Weyl curvature of hypersurface in $\mathbb{R}^{n+1}$

Published on 28 Mar 2026 - 12:33

260

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Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

Published on 23 Feb 2026 - 2:42

479

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Can a smooth map between two embedded submanifolds be (locally) smoothly extended?

Published on 26 Mar 2026 - 16:57

56

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Difference between coordinate map and standard coordinates?

Published on 26 Mar 2026 - 17:27

56

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The expression of points near a critical point

Published on 29 Mar 2026 - 19:11

513

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Which is the definition of the set of germs $C_p^{\infty}(\mathbb R^n)$? Does $C^{\infty}(U)$ consist of germs or functions?

Published on 27 Mar 2026 - 18:46

138

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Is there a missing definition for addition of vector fields?

Published on 26 Mar 2026 - 16:23

55

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Is the functional $w \mapsto \int_0^1 | \ \| w(t) \| - 1 | \ dt$ $C^1$ or even smooth?

Published on 25 Mar 2026 - 1:02

164

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Representation of a Lie algebra over the space of smooth functions.

Published on 28 Mar 2026 - 21:51

29

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Complex smooth maps over $(0 , \infty) \times G$.

Published on 26 Mar 2026 - 16:57

77

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$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

Published on 28 Mar 2026 - 12:31

1.7k

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The Lie bracket of $\mathfrak{gl}_n(\mathbb{R})$ is the matrix commutator

Published on 29 Mar 2026 - 2:47

List Question

Not a manifold: $x^3 + y^3 - 3xy = 0$

What is the ring and does $\phi^*$ preserves module operations

Differential of element in the stabiliser

Weyl curvature of hypersurface in $\mathbb{R}^{n+1}$

Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

Can a smooth map between two embedded submanifolds be (locally) smoothly extended?

Difference between coordinate map and standard coordinates?

The expression of points near a critical point

Which is the definition of the set of germs $C_p^{\infty}(\mathbb R^n)$? Does $C^{\infty}(U)$ consist of germs or functions?

Is there a missing definition for addition of vector fields?

Is the functional $w \mapsto \int_0^1 | \ \| w(t) \| - 1 | \ dt$ $C^1$ or even smooth?

Representation of a Lie algebra over the space of smooth functions.

Complex smooth maps over $(0 , \infty) \times G$.

$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

The Lie bracket of $\mathfrak{gl}_n(\mathbb{R})$ is the matrix commutator

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