List questions from manifolds

Published on 10 Apr 2026 - 13:06

756

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Let $S$ be the set of all circles on the unit sphere in $\mathbf{R}^3$. Give a smooth manifold structure to $S$.

Published on 30 Jan 2017 - 14:41

471

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Finding the variation field

Published on 07 Apr 2026 - 17:35

1.8k

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Lee - Introduction to Topological Manifolds - How to solve exercises

Published on 29 Mar 2026 - 20:55

64

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Change of vector fields between different manifolds

Published on 01 Apr 2026 - 16:42

2k

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Can Atlas on S^1 only contain one chart?

Published on 10 Apr 2026 - 13:06

323

Views

why can't a topological manifold have a finite underlying set?

Published on 31 Jan 2017 - 13:24

266

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Proving a space of pairs of orthogonal unit vectors is a manifold.

Published on 01 Feb 2017 - 4:22

1.7k

Views

Tangent space is a manifold

Published on 01 Feb 2017 - 12:46

46

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Showing that a certain Lie Group is diffeomorphic to $\mathbb{R}^{3}$

Published on 11 Apr 2026 - 19:35

1k

Views

Proof that the Lorentz Group SO(3,1) is a manifold

Published on 08 Apr 2026 - 16:15

191

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Compute the Differential Map on $T^_{\rho}$ and $\Lambda^2T^_{\rho}$

Published on 27 Mar 2026 - 7:00

34

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Initial data on a curve

Published on 26 Mar 2026 - 22:11

3.2k

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How to compute one-parameter group and corresponding vector fields

Published on 25 Mar 2026 - 9:46

142

Views

Width of tubular neighborhoods of closed submanifolds in the Euclidean space

Published on 03 Feb 2017 - 16:40

List Question

Exercise on Manifolds: Differentiability and Matrix of Differential

Let $S$ be the set of all circles on the unit sphere in $\mathbf{R}^3$. Give a smooth manifold structure to $S$.

Finding the variation field

Lee - Introduction to Topological Manifolds - How to solve exercises

Change of vector fields between different manifolds

Can Atlas on S^1 only contain one chart?

why can't a topological manifold have a finite underlying set?

Proving a space of pairs of orthogonal unit vectors is a manifold.

Tangent space is a manifold

Showing that a certain Lie Group is diffeomorphic to $\mathbb{R}^{3}$

Proof that the Lorentz Group SO(3,1) is a manifold

Compute the Differential Map on $T^_{\rho}$ and $\Lambda^2T^_{\rho}$

Initial data on a curve

How to compute one-parameter group and corresponding vector fields

Width of tubular neighborhoods of closed submanifolds in the Euclidean space

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