List questions from submanifold

Published on 01 May 2018 - 22:16

1k

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What is the relation between totally real submanifold and Lagrangian submanifold?

Published on 07 May 2018 - 7:41

345

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The canonical projection $\pi: \nu M \rightarrow M$ is a submersion

Published on 11 May 2018 - 1:45

113

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Is the image of the map $A \to \bigwedge^{k}A $ an embedded submanifold of $\text{GL}(\bigwedge^{k}V)$?

Published on 11 May 2018 - 8:44

88

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Is the image of the map $A \to \bigwedge^{k}A $ from matrices above rank $k$ closed?

Published on 04 Jun 2018 - 15:34

589

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Is the image of an equivariant map always a weakly embedded submanifold?

Published on 19 Mar 2026 - 23:58

191

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Is "immersion by parts" on a union of submanifolds an immersion?

Published on 13 Jun 2018 - 7:57

858

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How is the "surface measure" on a manifold defined?

Published on 21 Mar 2026 - 19:17

29

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How can we show that a nondegenerate "open" triangle is a $2$-dimensioal $C^\infty$-submanifold of $\mathbb R^3$?

Published on 28 Jun 2018 - 20:40

619

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Existence of a unique "outer" normal vector

Published on 22 Mar 2026 - 13:43

152

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Differentiability of functions on Manifolds

Published on 08 Jul 2018 - 22:17

101

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$T^1M = \{(p,v) \in TM; \| v\| = 1 \}$ is a submanifold of $TM$ of dimension $2n-1$

Published on 12 Jul 2018 - 17:41

650

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Tangent Space to the Quadratic Form

Published on 24 Mar 2026 - 23:44

169

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"Lift" of an immersion

Published on 25 Jul 2018 - 18:04

72

Views

Submanifold of $S^1 \times S^1 \times \mathbb{R}^2$.

Published on 26 Jul 2018 - 16:41

List Question

Tangent bundle $TM$ is a submanifold of $\mathbb{R}^{2n}$

What is the relation between totally real submanifold and Lagrangian submanifold?

The canonical projection $\pi: \nu M \rightarrow M$ is a submersion

Is the image of the map $A \to \bigwedge^{k}A $ an embedded submanifold of $\text{GL}(\bigwedge^{k}V)$?

Is the image of the map $A \to \bigwedge^{k}A $ from matrices above rank $k$ closed?

Is the image of an equivariant map always a weakly embedded submanifold?

Is "immersion by parts" on a union of submanifolds an immersion?

How is the "surface measure" on a manifold defined?

How can we show that a nondegenerate "open" triangle is a $2$-dimensioal $C^\infty$-submanifold of $\mathbb R^3$?

Existence of a unique "outer" normal vector

Differentiability of functions on Manifolds

$T^1M = \{(p,v) \in TM; \| v\| = 1 \}$ is a submanifold of $TM$ of dimension $2n-1$

Tangent Space to the Quadratic Form

"Lift" of an immersion

Submanifold of $S^1 \times S^1 \times \mathbb{R}^2$.

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