List questions from submanifold

Published on 27 Mar 2026 - 7:13

474

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Significant differences between Riemannian and pseudo-Riemannian submanifolds

Published on 27 Mar 2026 - 2:39

64

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Check whether it's a submanifold of $\Bbb R^2$

Published on 16 Oct 2021 - 14:06

54

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Prove that there exists an embedding $h: M\rightarrow \mathbb{R}^n$ such that $h(M)\cap A=\phi$.

Published on 17 Oct 2021 - 2:53

248

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Question on Morse-Sard Theorem and the boundary of level sets

Published on 19 Oct 2021 - 7:46

59

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Squared distance to a closed embedded manifold

Published on 20 Oct 2021 - 14:25

73

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Show that set subset of matrice of X in $M_{n}(R)$ such that X is idempotent, symmetric and with Tr(X) =1 is a submanifold

Published on 28 Mar 2026 - 0:30

112

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Prove this sets are not submanifolds of $\mathbb{R^2}$

Published on 27 Oct 2021 - 20:53

221

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Dropping closed condition in Transversality Theorem

Published on 25 Mar 2026 - 20:34

20

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Expressing two graphs over the same tangent plane as a normal graph over each other

Published on 27 Mar 2026 - 21:34

86

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The distances on totally geodesic submanifold and manifold.

Published on 04 Nov 2021 - 12:45

40

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A vector bundle $(E, B, \pi)$. Let $S(E)=\{a\in E\mid \langle a,a\rangle=1\}$. Prove that $E-B$ is homotopic to $S(E)$.

Published on 06 Nov 2021 - 5:31

157

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On exercise $1.7.15$ of Guillemin-Pollack

Published on 27 Mar 2026 - 7:49

57

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Smooth maps on manifold with nonconstant push forward maps

Published on 28 Mar 2026 - 7:07

60

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The differential of Gauss' map is zero if and only if $S$ is a plane

Published on 09 Nov 2021 - 14:55

List Question

Are cylinder and cone diffeomorphic?

Significant differences between Riemannian and pseudo-Riemannian submanifolds

Check whether it's a submanifold of $\Bbb R^2$

Prove that there exists an embedding $h: M\rightarrow \mathbb{R}^n$ such that $h(M)\cap A=\phi$.

Question on Morse-Sard Theorem and the boundary of level sets

Squared distance to a closed embedded manifold

Show that set subset of matrice of X in $M_{n}(R)$ such that X is idempotent, symmetric and with Tr(X) =1 is a submanifold

Prove this sets are not submanifolds of $\mathbb{R^2}$

Dropping closed condition in Transversality Theorem

Expressing two graphs over the same tangent plane as a normal graph over each other

The distances on totally geodesic submanifold and manifold.

A vector bundle $(E, B, \pi)$. Let $S(E)=\{a\in E\mid \langle a,a\rangle=1\}$. Prove that $E-B$ is homotopic to $S(E)$.

On exercise $1.7.15$ of Guillemin-Pollack

Smooth maps on manifold with nonconstant push forward maps

The differential of Gauss' map is zero if and only if $S$ is a plane

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