Question

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

score 84 · Answer 1 · 2026-04-15 02:36:33

84

Views

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

Published on 15 Apr 2026 - 2:36

score 131 · Answer 2 · 2026-04-12 16:00:13

131

Views

What is the algorithmic complexity of knot equivalence?

Published on 12 Apr 2026 - 16:00

score 57 · Answer 3 · 2026-04-15 03:36:19

57

Views

How can I compute the differential of this map $(t,x)\mapsto \begin{pmatrix} e^t &xe^t \\ 0 & e^{-t} \end{pmatrix}$ going into a submanifold?

Published on 15 Apr 2026 - 3:36

score 43 · Answer 4 · 2026-04-09 03:50:26

43

Views

Manifold definition clarification

Published on 09 Apr 2026 - 3:50

score 58 · Answer 5 · 2026-04-14 03:38:22

58

Views

Embedding hyperbolic surfaces in $H^3$

Published on 14 Apr 2026 - 3:38

score 49 · Answer 6 · 2026-04-12 21:37:52

49

Views

The surface of the cylinder as a differentiable manifold

Published on 12 Apr 2026 - 21:37

score 146 · Answer 7 · 2026-04-14 15:20:37

146

Views

To what extent smooth mappings of an affine line into a manifold determine its differentiable structure?

Published on 14 Apr 2026 - 15:20

score 28 · Answer 8 · 2026-04-13 10:26:33

28

Views

Simplicial manifolds which do not satisfy Kan condition locally?

Published on 13 Apr 2026 - 10:26

score 69 · Answer 9 · 2026-04-15 06:05:39

69

Views

Why Are Stratified Spaces Conical?

Published on 15 Apr 2026 - 6:05

score 84 · Answer 10 · 2026-04-13 04:27:06

84

Views

References for the classical version of the Frobenius theorem

Published on 13 Apr 2026 - 4:27

score 75 · Answer 11 · 2026-04-13 12:42:12

75

Views

How to detect infinite dimensionality using Algebraic topology?

Published on 13 Apr 2026 - 12:42

score 48 · Answer 12 · 2026-04-12 07:34:45

48

Views

Deciding if surfaces in $\mathbb{C}P^2$ are varieties

Published on 12 Apr 2026 - 7:34

score 51 · Answer 13 · 2026-04-15 05:42:01

51

Views

How can $\mathbb{R}P^3$ be homeomorphic to (a quotient of) the 3D unit ball?

Published on 15 Apr 2026 - 5:42

score 90 · Answer 14 · 2026-04-12 14:19:56

90

Views

Expected Riemannian Metric of a Random Generator Function

Published on 12 Apr 2026 - 14:19

score 24 · Answer 15 · 2026-04-14 10:44:06

24

Views

Exercise 25.5 - Connecting homomorphism - Tu's Introduction to manifold. Show is well defined.

Published on 14 Apr 2026 - 10:44

List Question

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

What is the algorithmic complexity of knot equivalence?

How can I compute the differential of this map $(t,x)\mapsto \begin{pmatrix} e^t &xe^t \\ 0 & e^{-t} \end{pmatrix}$ going into a submanifold?

Manifold definition clarification

Embedding hyperbolic surfaces in $H^3$

The surface of the cylinder as a differentiable manifold

To what extent smooth mappings of an affine line into a manifold determine its differentiable structure?

Simplicial manifolds which do not satisfy Kan condition locally?

Why Are Stratified Spaces Conical?

References for the classical version of the Frobenius theorem

How to detect infinite dimensionality using Algebraic topology?

Deciding if surfaces in $\mathbb{C}P^2$ are varieties

How can $\mathbb{R}P^3$ be homeomorphic to (a quotient of) the 3D unit ball?

Expected Riemannian Metric of a Random Generator Function

Exercise 25.5 - Connecting homomorphism - Tu's Introduction to manifold. Show is well defined.

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