List questions from submanifold

Published on 15 Apr 2026 - 17:23

1.1k

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Find $f$ such that $f^{-1}(\lbrace0\rbrace)$ is this knotted curve (M.W.Hirsh)

Published on 16 Apr 2026 - 16:23

95

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Are the matrices of nullity at most one and non-negative determinant a submanifold with boundary?

Published on 25 Mar 2026 - 6:04

1.5k

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Smooth images of manifolds are immersed?

Published on 16 Apr 2026 - 2:00

46

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Does a basis for a Lie algebra of a Lie group $G$ depend on whether $G$ is embedded?

Published on 14 Apr 2026 - 7:31

141

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If $f\in C^1$, are we able to show that $\partial\{f=0\}$ is a null set?

Published on 14 Apr 2026 - 19:15

601

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$SL(n,\Bbb{C})$ is a regular submanifold of $GL(n,\Bbb{C})$

Published on 13 Apr 2026 - 20:42

28

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Does there exist an open neighborhood $U$ of $S$ and a smooth map $U\to S$ which is a retraction?

Published on 13 Apr 2026 - 10:17

112

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Question about connected manifold

Published on 10 Apr 2026 - 13:37

71

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Why $\dim(\ker T_z f)=\dim(T_z(f^{-1}(c)))$?

Published on 16 Apr 2026 - 1:39

292

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Intuitively what are submanifolds?

Published on 10 Apr 2026 - 23:08

640

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Are initial submanifolds a thing?

Published on 15 Apr 2026 - 10:53

141

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Smooth submanifold of $\mathbb R^6$. Not smooth submanifold of $\mathbb R^3$

Published on 11 Apr 2026 - 18:22

247

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Extending differential form from a submanifold to a closed form

Published on 09 Apr 2026 - 9:22

189

Views

Show that the set $S$ is not a submanifold

Published on 14 Apr 2026 - 8:30

List Question

For which values of $a$, is ${M_{a}=\left\{(x, y) : y^{2}=x(x-1)(x-a)\right\}}$ a sub manifold?

Find $f$ such that $f^{-1}(\lbrace0\rbrace)$ is this knotted curve (M.W.Hirsh)

Are the matrices of nullity at most one and non-negative determinant a submanifold with boundary?

Smooth images of manifolds are immersed?

Does a basis for a Lie algebra of a Lie group $G$ depend on whether $G$ is embedded?

If $f\in C^1$, are we able to show that $\partial\{f=0\}$ is a null set?

$SL(n,\Bbb{C})$ is a regular submanifold of $GL(n,\Bbb{C})$

Does there exist an open neighborhood $U$ of $S$ and a smooth map $U\to S$ which is a retraction?

Question about connected manifold

Why $\dim(\ker T_z f)=\dim(T_z(f^{-1}(c)))$?

Intuitively what are submanifolds?

Are initial submanifolds a thing?

Smooth submanifold of $\mathbb R^6$. Not smooth submanifold of $\mathbb R^3$

Extending differential form from a submanifold to a closed form

Show that the set $S$ is not a submanifold

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