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

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$2$-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

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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 82 · Answer 5 · 2026-04-09 02:57:48

82

Views

Composition of analytic functions is analytic in Manifolds

Published on 09 Apr 2026 - 2:57

score 95 · Answer 6 · 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 376 · Answer 7 · 2026-04-14 08:28:22

376

Views

Description of Pfaffian System in Chern's Lectures on Differential Geometry

Published on 14 Apr 2026 - 8:28

score 71 · Answer 8 · 2026-04-23 23:44:14

71

Views

Is this a compact manifold?

Published on 23 Apr 2026 - 23:44

score 277 · Answer 9 · 2026-04-09 12:59:07

277

Views

Is it possible to define a differentiable manifold structure on a cone?

Published on 09 Apr 2026 - 12:59

score 25 · Answer 10 · 2026-04-14 22:24:34

25

Views

arcs transversal to $C^k$ maps

Published on 14 Apr 2026 - 22:24

score 62 · Answer 11 · 2026-04-03 05:24:16

62

Views

Isotopies with fixed subsets

Published on 03 Apr 2026 - 5:24

score 38 · Answer 12 · 2026-03-28 22:06:29

38

Views

Guaranteed smooth surfaces

Published on 28 Mar 2026 - 22:06

score 240 · Answer 13 · 2026-04-12 15:42:27

240

Views

How to embed 3-manifold being homology sphere to $S^4$?

Published on 12 Apr 2026 - 15:42

score 76 · Answer 14 · 2026-04-09 20:18:58

76

Views

Continuous maps on smoth manifolds

Published on 09 Apr 2026 - 20:18

score 227 · Answer 15 · 2026-04-17 15:25:16

227

Views

Two ways of inducing a metric/topology on a manifold.

Published on 17 Apr 2026 - 15:25

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

Composition of analytic functions is analytic in Manifolds

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

Description of Pfaffian System in Chern's Lectures on Differential Geometry

Is this a compact manifold?

Is it possible to define a differentiable manifold structure on a cone?

arcs transversal to $C^k$ maps

Isotopies with fixed subsets

Guaranteed smooth surfaces

How to embed 3-manifold being homology sphere to $S^4$?

Continuous maps on smoth manifolds

Two ways of inducing a metric/topology on a manifold.

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