List questions from manifolds

Published on 04 May 2020 - 21:12

129

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Why does the solution to our system imply the origin is a nonlinear center?

Published on 29 Mar 2026 - 14:57

36

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Definition of integral of $p$-form $\omega$ defined on manifold $M$ on singular $p$-cube in Spivak

Published on 04 May 2020 - 22:31

94

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Prove that $M - \partial M \simeq M$.

Published on 26 Mar 2026 - 6:25

191

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Do diffeomorphisms preserve dimension of subsets in the following sense?

Published on 05 Apr 2026 - 17:16

133

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The maximum of determinant restrict to a sphere is at an orthogonal matrix

Published on 29 Mar 2026 - 16:30

452

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The $n$-torus is parallelizable.

Published on 06 May 2020 - 16:49

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

54

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A non-vanishing Betti number of punctured manifolds

Published on 23 Feb 2026 - 2:12

398

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Unique smooth structure on an embedded submanifold.

Published on 25 Mar 2026 - 13:51

1k

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What exactly is a tangent space?

Published on 05 Apr 2026 - 17:23

227

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Soft Question: Texts for introduction into Complex/Analytic Geometry i.e. GAGA theorems, Several Complex variables.

Published on 26 Mar 2026 - 6:09

128

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$\nabla_\mu X^{\nu} = \delta^{\nu}_{\mu}$ ? Covariant derivative of coordinate

Published on 09 May 2020 - 8:01

105

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How to show explicitly that $\{(x, y)| x^3 = y^2\}$ is not a smooth manifold?

Published on 05 Apr 2026 - 18:38

List Question

Number of Connected Components in an Open Set from which a Point is Removed

Why does the solution to our system imply the origin is a nonlinear center?

Definition of integral of $p$-form $\omega$ defined on manifold $M$ on singular $p$-cube in Spivak

Prove that $M - \partial M \simeq M$.

Do diffeomorphisms preserve dimension of subsets in the following sense?

The maximum of determinant restrict to a sphere is at an orthogonal matrix

The $n$-torus is parallelizable.

Time derivative of inverse of flow diffeomorphisms

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

A non-vanishing Betti number of punctured manifolds

Unique smooth structure on an embedded submanifold.

What exactly is a tangent space?

Soft Question: Texts for introduction into Complex/Analytic Geometry i.e. GAGA theorems, Several Complex variables.

$\nabla_\mu X^{\nu} = \delta^{\nu}_{\mu}$ ? Covariant derivative of coordinate

How to show explicitly that $\{(x, y)| x^3 = y^2\}$ is not a smooth manifold?

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