List questions from manifolds

Published on 17 Mar 2018 - 8:47

574

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Is it true that the wedge of two manifolds is not a manifold?

Published on 17 Mar 2018 - 11:31

190

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Find the image of a vector field

Published on 25 Mar 2026 - 12:48

226

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$I(X,Z)=(-1)^{(\dim X) (\dim Z)}I(Z,X)$

Published on 17 Mar 2018 - 21:50

358

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Verifying Christoffel Symbols of Sasaki Metric

Published on 24 Mar 2026 - 22:08

85

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Does $ \sin^2 x + \cos^2 x = 1 $ still apply on a general manifold?

Published on 18 Mar 2018 - 15:28

45

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$\{(U,\phi),(V,\psi),(V,\gamma)\}$ defines a smooth manifold structure on $U \cup V$.

Published on 19 Mar 2018 - 5:53

157

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Interpretation for diffeomorphism

Published on 25 Mar 2026 - 1:13

75

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proof given for spheres to be done for manifolds

Published on 25 Mar 2026 - 12:06

546

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Why is it important to distinguish between coordinates and coordinate functions?

Published on 20 Mar 2018 - 15:39

269

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Existence of solution for heat equation on manifold without boundary.

Published on 25 Mar 2026 - 11:06

61

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Lifting Heegaard splittings to the universal cover

Published on 25 Mar 2026 - 7:48

385

Views

Local coordinates on $n$-dimensional torus

Published on 25 Mar 2026 - 3:17

848

Views

Manifold of SU(3) group

Published on 21 Mar 2018 - 10:40

227

Views

$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

Published on 25 Mar 2026 - 19:09

List Question

How about the converse of the property that a product of manifolds is a manifold?

Is it true that the wedge of two manifolds is not a manifold?

Find the image of a vector field

$I(X,Z)=(-1)^{(\dim X) (\dim Z)}I(Z,X)$

Verifying Christoffel Symbols of Sasaki Metric

Does $ \sin^2 x + \cos^2 x = 1 $ still apply on a general manifold?

$\{(U,\phi),(V,\psi),(V,\gamma)\}$ defines a smooth manifold structure on $U \cup V$.

Interpretation for diffeomorphism

proof given for spheres to be done for manifolds

Why is it important to distinguish between coordinates and coordinate functions?

Existence of solution for heat equation on manifold without boundary.

Lifting Heegaard splittings to the universal cover

Local coordinates on $n$-dimensional torus

Manifold of SU(3) group

$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

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