List questions from submanifold

Published on 15 Apr 2026 - 9:53

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matrixgroup is a differentiable submanifold of $M_4(\mathbb{R})$

Published on 14 Apr 2026 - 19:59

508

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Motivation usage of Gramian Matrix for Integration on Submanifolds

Published on 10 Apr 2026 - 5:11

29

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Matrices and Manifolds

Published on 30 Apr 2026 - 6:25

104

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Why is $(U \cap R, \varphi_R)$ a chart for a regular submanifold $R$?

Published on 16 Apr 2026 - 9:27

903

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When is an inclusion map smooth?

Published on 11 Apr 2026 - 2:10

911

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Why is an inclusion map from an open subset smooth?

Published on 11 Apr 2026 - 16:17

152

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When do two different Jacobi Fields commute in the sense of the Lie Bracket?

Published on 15 Apr 2026 - 7:19

27

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Show that all solutions are of the form $(t,t^2,t^3)$

Published on 16 Apr 2026 - 6:40

950

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The square is not a submanifold of $\mathbb{R}^2$

Published on 10 Apr 2026 - 0:29

419

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Ricci equation is trivial in codimension $1$

Published on 13 Apr 2026 - 8:31

108

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What does continuity of the determinant say about the value of a submatrix on neighborhoods of $M_{m\times n}(\mathbb{R})$

Published on 15 Apr 2026 - 8:58

53

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Inner product of fields extension on a Riemannian Manifold

Published on 14 Apr 2026 - 20:09

268

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Equations defining a submanifold

Published on 10 Apr 2026 - 19:53

268

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Computing the $2^\text{nd}$ fundamental form of $\mathbb{R}_+\times M^n\to \mathbb{R}^{n+p+1}$

Published on 15 Apr 2026 - 13:43

List Question

How to find the set of all points in a submanifold minimizing the distance to a given point?

matrixgroup is a differentiable submanifold of $M_4(\mathbb{R})$

Motivation usage of Gramian Matrix for Integration on Submanifolds

Matrices and Manifolds

Why is $(U \cap R, \varphi_R)$ a chart for a regular submanifold $R$?

When is an inclusion map smooth?

Why is an inclusion map from an open subset smooth?

When do two different Jacobi Fields commute in the sense of the Lie Bracket?

Show that all solutions are of the form $(t,t^2,t^3)$

The square is not a submanifold of $\mathbb{R}^2$

Ricci equation is trivial in codimension $1$

What does continuity of the determinant say about the value of a submatrix on neighborhoods of $M_{m\times n}(\mathbb{R})$

Inner product of fields extension on a Riemannian Manifold

Equations defining a submanifold

Computing the $2^\text{nd}$ fundamental form of $\mathbb{R}_+\times M^n\to \mathbb{R}^{n+p+1}$

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