List questions from manifolds

Published on 26 Mar 2026 - 1:28

84

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Computing DeRham Cohomology of $H^{1}(\Bbb{R})$ and $H^{1}(S^{1})$?

Published on 25 Mar 2026 - 23:27

169

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The normal bundle $\nu S^n$ is diffeomorphic to $S^n \times \mathbb{R}$.

Published on 24 Apr 2018 - 1:08

54

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Spivak (4.5) $c:[0,1]\to \mathbb{R}^{n^2}$ is continuous then $[c^1(0),\ldots,c^n(0)]=[c^1(1),\ldots,c^n(1)]$

Published on 26 Mar 2026 - 2:48

85

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What is the meaning of "same as differentiable manifolds"?

Published on 24 Apr 2018 - 13:47

181

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What does it mean by "combing a sphere"?

Published on 24 Apr 2018 - 14:10

1.6k

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Set of symmetric matrices is a manifold.

Published on 24 Apr 2018 - 16:06

55

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Algebraic version of a manifold

Published on 24 Apr 2018 - 16:27

725

Views

Partial derivatives with Einstein summation

Published on 25 Mar 2026 - 14:00

250

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Is the composition of two flows defined to be linear in time?

Published on 24 Apr 2018 - 19:31

134

Views

Criterion for being in a non-orientable 3 manifold?

Published on 22 Mar 2026 - 21:24

62

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Submanifold of $\mathbb{R}^3$

Published on 25 Apr 2018 - 18:37

464

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Why is $\alpha(t)=(t^3,t^2)$ not an immersion?

Published on 26 Mar 2026 - 1:06

3.8k

Views

f-related vector field

Published on 26 Apr 2018 - 15:16

269

Views

Proving an identity regarding Levi-civita connections of a metric

Published on 26 Apr 2018 - 17:23

List Question

Norm preserving linear transformation preserves volumes

Computing DeRham Cohomology of $H^{1}(\Bbb{R})$ and $H^{1}(S^{1})$?

The normal bundle $\nu S^n$ is diffeomorphic to $S^n \times \mathbb{R}$.

Spivak (4.5) $c:[0,1]\to \mathbb{R}^{n^2}$ is continuous then $[c^1(0),\ldots,c^n(0)]=[c^1(1),\ldots,c^n(1)]$

What is the meaning of "same as differentiable manifolds"?

What does it mean by "combing a sphere"?

Set of symmetric matrices is a manifold.

Algebraic version of a manifold

Partial derivatives with Einstein summation

Is the composition of two flows defined to be linear in time?

Criterion for being in a non-orientable 3 manifold?

Submanifold of $\mathbb{R}^3$

Why is $\alpha(t)=(t^3,t^2)$ not an immersion?

f-related vector field

Proving an identity regarding Levi-civita connections of a metric

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