List questions from manifolds

Published on 10 Feb 2019 - 19:43

468

Views

Classification of contractible 4-manifolds

Published on 26 Mar 2026 - 23:09

701

Views

What is the natural isomorphism between the tangent space of a product manifold and the product of the tangent spaces?

Published on 12 Feb 2019 - 11:08

32

Views

How would the chart around a point vary be different to the tangent space at the same point?

Published on 28 Mar 2026 - 19:39

66

Views

Injectivity of the Fourier transform on manifolds

Published on 14 Feb 2019 - 2:59

690

Views

Definition of closed surface/manifold

Published on 27 Mar 2026 - 7:13

948

Views

The square is not a submanifold of $\mathbb{R}^2$

Published on 25 Mar 2026 - 4:40

57

Views

Deduce the curvature of the manifold by probing it with geodesics

Published on 25 Mar 2026 - 9:50

168

Views

Proving that unit quaternions are a 3 Manifold

Published on 25 Mar 2026 - 13:53

124

Views

Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Published on 25 Mar 2026 - 6:04

4.4k

Views

Show that $\mathbb{R^{n}}$ is not compact by definition

Published on 18 Feb 2019 - 2:13

206

Views

Is $(S^1)^3/{\sim}$ a manifold? $\sim$ is equivalent relation on all triple permutations $(a,b,c)\sim (a,c,b)\sim (c,a,b)\sim \cdots $ on $(S^1)^3$

Published on 25 Mar 2026 - 19:04

413

Views

Manifold acted on by every finite group

Published on 26 Mar 2026 - 14:19

321

Views

Continuity of Projection operator from Tangent Bundle to Manifold

Published on 18 Feb 2019 - 22:55

640

Views

Is the Wikipedia formula for the Gauss equation correct?

Published on 25 Mar 2026 - 20:42

List Question

Why do we care about maximal atlases?

Classification of contractible 4-manifolds

What is the natural isomorphism between the tangent space of a product manifold and the product of the tangent spaces?

How would the chart around a point vary be different to the tangent space at the same point?

Injectivity of the Fourier transform on manifolds

Definition of closed surface/manifold

The square is not a submanifold of $\mathbb{R}^2$

Deduce the curvature of the manifold by probing it with geodesics

Proving that unit quaternions are a 3 Manifold

Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Show that $\mathbb{R^{n}}$ is not compact by definition

Is $(S^1)^3/{\sim}$ a manifold? $\sim$ is equivalent relation on all triple permutations $(a,b,c)\sim (a,c,b)\sim (c,a,b)\sim \cdots $ on $(S^1)^3$

Manifold acted on by every finite group

Continuity of Projection operator from Tangent Bundle to Manifold

Is the Wikipedia formula for the Gauss equation correct?

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