List questions from manifolds

Published on 14 Apr 2026 - 7:21

685

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Eigenvalues of a Plane Curve Laplace-Beltrami Operator

Published on 12 Apr 2026 - 16:40

223

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Explain why this set is not a differentiable manifold

Published on 12 Apr 2026 - 17:41

1.3k

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For $(n-1)$-form $\omega$ on $M^{n}$ compact, orientable without boundary, then $d\omega$ vanish for some point

Published on 15 Apr 2026 - 16:40

116

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$\omega$ is $1$-form on $S^1$.

Published on 16 Apr 2026 - 3:17

197

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Sheaf, étalé space with Riemann surfaces.

Published on 11 Apr 2026 - 12:54

845

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Local representation of a submanifold as a graph over the tangent plane

Published on 16 Apr 2026 - 19:46

225

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Show that this is indeed a differentiable manifold with boundary.

Published on 14 Apr 2026 - 20:59

628

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Perturb a given smooth function to a Morse function relative to fixed level sets, which are already fine.

Published on 14 Apr 2026 - 5:06

39

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Poincaré invariant corresponds to area?

Published on 15 Apr 2026 - 14:50

64

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$V$ is $C^1$ and $V(x_0)=0$ and $ \nabla V $ is not zero $\{ x : V(x)= c \}$ is a surface with no edge around $x_0$

Published on 13 Apr 2026 - 21:37

1.6k

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pullback of continuous maps of manifolds

Published on 10 Apr 2026 - 19:57

79

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Projection of surfaces in $\mathbb{C}^2, \mathbb{C}P^2, \mathbb{C}H^2$ to $\mathbb{R}^3$

Published on 25 Mar 2026 - 9:37

61

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Differential manifold of dimension $m^2$

Published on 16 Apr 2026 - 9:28

1.9k

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Is there an infinite dimensional Lie group associated to the Lie algebra of all vector fields on a manifold?

Published on 20 Apr 2026 - 6:59

List Question

Show that the tangent space of a manifold is a certain set.

Eigenvalues of a Plane Curve Laplace-Beltrami Operator

Explain why this set is not a differentiable manifold

For $(n-1)$-form $\omega$ on $M^{n}$ compact, orientable without boundary, then $d\omega$ vanish for some point

$\omega$ is $1$-form on $S^1$.

Sheaf, étalé space with Riemann surfaces.

Local representation of a submanifold as a graph over the tangent plane

Show that this is indeed a differentiable manifold with boundary.

Perturb a given smooth function to a Morse function relative to fixed level sets, which are already fine.

Poincaré invariant corresponds to area?

$V$ is $C^1$ and $V(x_0)=0$ and $ \nabla V $ is not zero $\{ x : V(x)= c \}$ is a surface with no edge around $x_0$

pullback of continuous maps of manifolds

Projection of surfaces in $\mathbb{C}^2, \mathbb{C}P^2, \mathbb{C}H^2$ to $\mathbb{R}^3$

Differential manifold of dimension $m^2$

Is there an infinite dimensional Lie group associated to the Lie algebra of all vector fields on a manifold?

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