List questions from submanifold

Published on 08 Jan 2021 - 0:40

14

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Short question about submanifolds

Published on 12 Jan 2021 - 22:41

296

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A doubt on Lie subgroups of Lie groups

Published on 13 Jan 2021 - 7:57

58

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open map between smooth manifolds

Published on 26 Mar 2026 - 23:59

33

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Why is it a submanifold or not?

Published on 19 Jan 2021 - 20:37

38

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$M:=\{(x,y)\in \Bbb R^2: x\cdot y=0\}$ is not a submanifold

Published on 20 Jan 2021 - 11:25

63

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Is $\{(x,y) \in \Bbb R^2: x \cdot y=1\}$ a submanifold?

Published on 23 Jan 2021 - 20:37

182

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Pullback metric

Published on 25 Jan 2021 - 14:25

30

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Can the Lebesgue integral $\int _U f(x)\,dx$ in $\mathbb {R}^d$ exist if $\int _W f|_W \,dS$ doesn't exist?

Published on 26 Jan 2021 - 11:46

492

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Every embedding gives rise to an embedded submanifold?

Published on 02 Feb 2021 - 11:26

244

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Last step in Voisin's proof of Ehresmann's lemma

Published on 03 Feb 2021 - 16:58

80

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Why the following space is a submanifold of $\mathcal{M}_4(\mathbb{R})$?

Published on 05 Feb 2021 - 0:07

533

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Mean curvature vector

Published on 19 Feb 2021 - 5:22

82

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Equivalence graph of a surjective submersion is an embedded submanifold

Published on 20 Feb 2021 - 22:06

80

Views

Submanifold in $R^n$ with positive sectional curvature

Published on 21 Feb 2021 - 4:15

List Question

With this definition of local charts and submanifolds, are the transition maps differentiable?

Short question about submanifolds

A doubt on Lie subgroups of Lie groups

open map between smooth manifolds

Why is it a submanifold or not?

$M:=\{(x,y)\in \Bbb R^2: x\cdot y=0\}$ is not a submanifold

Is $\{(x,y) \in \Bbb R^2: x \cdot y=1\}$ a submanifold?

Pullback metric

Can the Lebesgue integral $\int _U f(x)\,dx$ in $\mathbb {R}^d$ exist if $\int _W f|_W \,dS$ doesn't exist?

Every embedding gives rise to an embedded submanifold?

Last step in Voisin's proof of Ehresmann's lemma

Why the following space is a submanifold of $\mathcal{M}_4(\mathbb{R})$?

Mean curvature vector

Equivalence graph of a surjective submersion is an embedded submanifold

Submanifold in $R^n$ with positive sectional curvature

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