Question

$2$-dimensional subbundle of tangent bundle of closed $3$-manifold integrable if and only if $\alpha \wedge d\alpha = 0$?

score 685 · Answer 1 · 2026-04-14 22:11:53

685

Views

$2$-dimensional subbundle of tangent bundle of closed $3$-manifold integrable if and only if $\alpha \wedge d\alpha = 0$?

Published on 14 Apr 2026 - 22:11

score 495 · Answer 2 · 2026-03-29 19:11:44

495

Views

Symplectic manifold $M$, unique vector field $X_f$ on $M$ so that $df(Y)= \omega(X_f, Y)$ for all vector fields $Y$?

Published on 29 Mar 2026 - 19:11

score 470 · Answer 3 · 2026-03-29 17:27:37

470

Views

Symplectic manifold, flow $\phi_t$ generated by unique vector fiel $X_f$ preserves symplectic form $\omega$?

Published on 29 Mar 2026 - 17:27

score 503 · Answer 4 · 2026-03-29 17:31:33

503

Views

Poisson bracket makes $C^\infty(M)$ into a Lie algebra

Published on 29 Mar 2026 - 17:31

score 95 · Answer 5 · 2026-04-16 14:58:13

95

Views

$M$ closed $3$-manifold, $\xi$ integrable $2$-dimensional subbundle of $TM$, ensuing properties.

Published on 16 Apr 2026 - 14:58

score 122 · Answer 6 · 2026-04-15 21:20:03

122

Views

Proving that $\mathbb{R}P^n$ is a manifold

Published on 15 Apr 2026 - 21:20

score 319 · Answer 7 · 2026-04-16 18:13:08

319

Views

How can I draw plane distributions in $\mathbb{R}^3$?

Published on 16 Apr 2026 - 18:13

score 624 · Answer 8 · 2026-04-14 09:36:12

624

Views

Proving that the tangent space of $\Delta$ is the diagonal of $T_pM\times T_pM$

Published on 14 Apr 2026 - 9:36

score 219 · Answer 9 · 2026-04-10 23:09:58

219

Views

Extending differentiable functions to the whole manifold

Published on 10 Apr 2026 - 23:09

score 427 · Answer 10 · 2026-04-12 03:45:49

427

Views

Stronger Whitney approximation for smooth manifolds

Published on 12 Apr 2026 - 3:45

score 2.8k · Answer 11 · 2026-04-15 00:03:28

2.8k

Views

Any set of linearly independent and commuting vector fields CAN be realized (locally) as partial derivatives of a local coordinate

Published on 15 Apr 2026 - 0:03

score 129 · Answer 12 · 2026-04-22 10:58:09

129

Views

Degree of infinite dimensinal antipodal map

Published on 22 Apr 2026 - 10:58

score 247 · Answer 13 · 2026-04-09 04:56:39

247

Views

How are related Connected Component with Open-Closed Subset

Published on 09 Apr 2026 - 4:56

score 82 · Answer 14 · 2026-04-14 04:42:59

82

Views

Can any path in the diffeomorphism group of a smooth manifold be approximated by a smooth one?

Published on 14 Apr 2026 - 4:42

score 1.2k · Answer 15 · 2026-04-11 02:03:22

1.2k

Views

how to prove that every low-dimensional topological manifold has a unique smooth structure up to diffeomorphism?

Published on 11 Apr 2026 - 2:03

List Question

$2$-dimensional subbundle of tangent bundle of closed $3$-manifold integrable if and only if $\alpha \wedge d\alpha = 0$?

Symplectic manifold $M$, unique vector field $X_f$ on $M$ so that $df(Y)= \omega(X_f, Y)$ for all vector fields $Y$?

Symplectic manifold, flow $\phi_t$ generated by unique vector fiel $X_f$ preserves symplectic form $\omega$?

Poisson bracket makes $C^\infty(M)$ into a Lie algebra

$M$ closed $3$-manifold, $\xi$ integrable $2$-dimensional subbundle of $TM$, ensuing properties.

Proving that $\mathbb{R}P^n$ is a manifold

How can I draw plane distributions in $\mathbb{R}^3$?

Proving that the tangent space of $\Delta$ is the diagonal of $T_pM\times T_pM$

Extending differentiable functions to the whole manifold

Stronger Whitney approximation for smooth manifolds

Any set of linearly independent and commuting vector fields CAN be realized (locally) as partial derivatives of a local coordinate

Degree of infinite dimensinal antipodal map

How are related Connected Component with Open-Closed Subset

Can any path in the diffeomorphism group of a smooth manifold be approximated by a smooth one?

how to prove that every low-dimensional topological manifold has a unique smooth structure up to diffeomorphism?

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