List questions from tangent-spaces

Published on 12 Jun 2020 - 22:24

260

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Fundamental form of almost complex manifold is $(1,1)$-form

Published on 25 Mar 2026 - 14:23

528

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How are tangent space basis vectors affected under a change of coordinates?

Published on 16 Jun 2020 - 23:04

65

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Commutation of covariant derivatives

Published on 24 Jun 2020 - 12:18

57

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Wave maps, second energy inequality

Published on 25 Mar 2026 - 20:16

138

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Orthonormal bases and orthonormal frames

Published on 25 Jun 2020 - 5:18

153

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Prove intersection of 2-manifolds of $R^3$ is 1-manifold

Published on 25 Mar 2026 - 13:56

289

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Characterization of the tangent space of the boundary of an embedded submanifold of $\mathbb R^d$ with boundary

Published on 25 Mar 2026 - 15:44

101

Views

Show an identity for the Laplace-Beltrami operator

Published on 10 Jul 2020 - 11:26

547

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Why is it important the manifold has codimension $1$ in order to prove this identity for $\operatorname{div}fV$ on $\partial M$?

Published on 25 Mar 2026 - 15:42

25

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The Explanation of these steps

Published on 12 Jul 2020 - 9:31

167

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Tangent space of projection operators in $\mathbb{R}^3$

Published on 14 Jul 2020 - 16:01

41

Views

$S = \{ A \in M_{n}(\mathbb{R}) : 0 <\operatorname{rank}(A) = p < n \}$ is a graph of a $C^{1}$ function

Published on 25 Mar 2026 - 15:42

430

Views

How can a vector field act on a Lie Algebra element?

Published on 25 Mar 2026 - 13:54

928

Views

Confusion about how tangent vectors relate to vector fields in Differential geometry

Published on 23 Jul 2020 - 13:42

List Question

Does a Lie derivative of a vector field involve subtracting vectors from different spaces?

Fundamental form of almost complex manifold is $(1,1)$-form

How are tangent space basis vectors affected under a change of coordinates?

Commutation of covariant derivatives

Wave maps, second energy inequality

Orthonormal bases and orthonormal frames

Prove intersection of 2-manifolds of $R^3$ is 1-manifold

Characterization of the tangent space of the boundary of an embedded submanifold of $\mathbb R^d$ with boundary

Show an identity for the Laplace-Beltrami operator

Why is it important the manifold has codimension $1$ in order to prove this identity for $\operatorname{div}fV$ on $\partial M$?

The Explanation of these steps

Tangent space of projection operators in $\mathbb{R}^3$

$S = \{ A \in M_{n}(\mathbb{R}) : 0 <\operatorname{rank}(A) = p < n \}$ is a graph of a $C^{1}$ function

How can a vector field act on a Lie Algebra element?

Confusion about how tangent vectors relate to vector fields in Differential geometry

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