List questions from manifolds

Published on 25 Mar 2026 - 1:16

148

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Find two integers such that |m+ αn + β| < ε

Published on 25 Oct 2019 - 5:39

155

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Fundamental Theorem on Lie Algebra Actions

Published on 03 Apr 2026 - 10:04

37

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Prove that $X_p$ is a vector at $p$

Published on 28 Mar 2026 - 9:44

86

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Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

Published on 25 Mar 2026 - 19:06

29

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Definition of the central projection to the unit circle

Published on 04 Apr 2026 - 16:55

137

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Hyperbolic Geometry - Calculating curvature of hyperboloid embedded in pseudo-Riemannian manifold

Published on 25 Mar 2026 - 22:06

21

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Minimizing distance to a point vs. minimizing pairwise distance

Published on 02 Apr 2026 - 14:38

288

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True forms vs. pseudo-forms/Manifolds

Published on 30 Mar 2026 - 16:22

56

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Because of the fact that $exp:\mathfrak{so}(n)\to SO(n)$ is surjective it follows that $SO(n)$ is connected?

Published on 03 Apr 2026 - 13:00

343

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The function $\exp: \mathfrak{su}(2)\to SU(2)$ is surjective.

Published on 03 Apr 2026 - 12:52

77

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For all $x\in SO(n)$ there is a $y\in SO(n)$ such that $b=yxy^{-1}$ is a matrix by blocks, where each block is an element of $SO(1)$ or $SO(2)$.

Published on 03 Apr 2026 - 13:00

871

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Integration on SO(3)

Published on 28 Mar 2026 - 16:12

221

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What does it mean for a manifold to be geometrizable?

Published on 28 Mar 2026 - 6:01

439

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Invariance of the boundary for 2-dimensional manifold.

Published on 29 Oct 2019 - 17:48

List Question

Evolution of laplacian under Ricci flow

Find two integers such that |m+ αn + β| < ε

Fundamental Theorem on Lie Algebra Actions

Prove that $X_p$ is a vector at $p$

Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

Definition of the central projection to the unit circle

Hyperbolic Geometry - Calculating curvature of hyperboloid embedded in pseudo-Riemannian manifold

Minimizing distance to a point vs. minimizing pairwise distance

True forms vs. pseudo-forms/Manifolds

Because of the fact that $exp:\mathfrak{so}(n)\to SO(n)$ is surjective it follows that $SO(n)$ is connected?

The function $\exp: \mathfrak{su}(2)\to SU(2)$ is surjective.

For all $x\in SO(n)$ there is a $y\in SO(n)$ such that $b=yxy^{-1}$ is a matrix by blocks, where each block is an element of $SO(1)$ or $SO(2)$.

Integration on SO(3)

What does it mean for a manifold to be geometrizable?

Invariance of the boundary for 2-dimensional manifold.

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