List questions from submanifold

Published on 28 Mar 2026 - 11:34

601

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Graph of a smooth function on a smooth manifold is again a smooth submanifold

Published on 23 Jul 2022 - 15:47

163

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Immersion from sphere to $ \Bbb{R}^{n +1}$.

Published on 30 Jul 2022 - 0:05

109

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If every orthogonal projection of a manifold $M \subset \mathbb R^3$ on a plane is a disk, then $M$ is a sphere?

Published on 14 Aug 2022 - 8:23

41

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2-Dimensional Volume of $M:= \{(x,y,z) \in \mathbb{R}^3:x^2+y^2+z^2=1, a\leq x \leq b, z \geq 0 \}$

Published on 19 Aug 2022 - 10:05

157

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Can a smooth manifold be embedded into its tangent bundle?

Published on 26 Mar 2026 - 16:06

81

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Does a smooth manifold with boundary admit an exhaustion by compact embedded submanifolds with boundary of codimension zero?

Published on 28 Mar 2026 - 17:40

177

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Existence of a non vanishng vector field on a manifold

Published on 20 Sep 2022 - 10:19

100

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Regular submanifolds in practice.

Published on 23 Sep 2022 - 13:02

178

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Can a smooth manifold be realised as the image of a smooth function?

Published on 27 Sep 2022 - 16:32

40

Views

Product of Delta distributions of a submanifold

Published on 06 Oct 2022 - 17:42

164

Views

Show that SO(3) is an embedded in $\mathbb{R}^{3\times 3} \equiv M(3,n)$ without using Regular Level Set Theorem

Published on 06 Oct 2022 - 19:19

174

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Using Möbius band to define orientability of surfaces

Published on 25 Mar 2026 - 22:10

67

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Diffeomorphic object of $O(3)$

Published on 12 Oct 2022 - 10:21

61

Views

Tubular neighborhood of a surface in a 3-manifold

Published on 23 Feb 2026 - 8:27

List Question

Theorem 3.1 in the chapter 8 of Differential Topology by Hirsch

Graph of a smooth function on a smooth manifold is again a smooth submanifold

Immersion from sphere to $ \Bbb{R}^{n +1}$.

If every orthogonal projection of a manifold $M \subset \mathbb R^3$ on a plane is a disk, then $M$ is a sphere?

2-Dimensional Volume of $M:= \{(x,y,z) \in \mathbb{R}^3:x^2+y^2+z^2=1, a\leq x \leq b, z \geq 0 \}$

Can a smooth manifold be embedded into its tangent bundle?

Does a smooth manifold with boundary admit an exhaustion by compact embedded submanifolds with boundary of codimension zero?

Existence of a non vanishng vector field on a manifold

Regular submanifolds in practice.

Can a smooth manifold be realised as the image of a smooth function?

Product of Delta distributions of a submanifold

Show that SO(3) is an embedded in $\mathbb{R}^{3\times 3} \equiv M(3,n)$ without using Regular Level Set Theorem

Using Möbius band to define orientability of surfaces

Diffeomorphic object of $O(3)$

Tubular neighborhood of a surface in a 3-manifold

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