Question

Given a bivector, determine the decomposition of $\mathbb{R}^3$ into symplectic leaves

score 76 · Answer 1 · 2026-03-25 03:07:42

76

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Given a bivector, determine the decomposition of $\mathbb{R}^3$ into symplectic leaves

Published on 25 Mar 2026 - 3:07

score 149 · Answer 2 · 2026-03-30 05:38:37

149

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Why is it important to ask for injectivity and homeomorphisms when defining immersions and embeddings? What's the motivation behind it?

Published on 30 Mar 2026 - 5:38

score 77 · Answer 3 · 2026-03-25 00:29:12

77

Views

Reference Request: Manifold theory when $\mathbb{R}$ is replaced by a complete ordered field

Published on 25 Mar 2026 - 0:29

score 413 · Answer 4 · 2019-03-09 23:51:01

413

Views

Verify proof for continuity of pointwise orientation

Published on 09 Mar 2019 - 23:51

score 88 · Answer 5 · 2019-03-10 10:43:01

88

Views

Linear Manifold - Parallel Space

Published on 10 Mar 2019 - 10:43

score 102 · Answer 6 · 2019-03-10 13:33:25

102

Views

If $ Df(x) = 0$ then is $M$ necessarily not a manifold?

Published on 10 Mar 2019 - 13:33

score 195 · Answer 7 · 2026-03-26 06:02:51

195

Views

Hamiltonian vector field proof?

Published on 26 Mar 2026 - 6:02

score 104 · Answer 8 · 2019-03-11 02:40:04

104

Views

What is a union of n-manifolds?

Published on 11 Mar 2019 - 2:40

score 268 · Answer 9 · 2026-03-25 06:48:48

268

Views

geodesic balls in Riemannian manifolds with bounded geometry

Published on 25 Mar 2026 - 6:48

score 713 · Answer 10 · 2026-03-25 11:16:30

713

Views

What is the induced orientation on a 1-manifold with boundary that is the image of closed interval under a smooth immersion?

Published on 25 Mar 2026 - 11:16

score 882 · Answer 11 · 2026-03-25 14:22:02

882

Views

Naturality of the lie bracket.

Published on 25 Mar 2026 - 14:22

score 149 · Answer 12 · 2026-03-25 03:03:57

149

Views

The differential $df:T(M)\rightarrow\mathbb{R}$ and the differential map $df:T(M)\rightarrow T(\mathbb{R^1})$ differ by a canonical isomorphism.

Published on 25 Mar 2026 - 3:03

score 118 · Answer 13 · 2019-03-11 20:52:07

118

Views

homology of a subspaces of product of circles.

Published on 11 Mar 2019 - 20:52

score 55 · Answer 14 · 2026-03-25 13:57:50

55

Views

Manifold and the topology of $\Bbb R^n$

Published on 25 Mar 2026 - 13:57

score 94 · Answer 15 · 2026-03-25 13:55:18

94

Views

How metric on tangent space affects topology

Published on 25 Mar 2026 - 13:55

List Question

Given a bivector, determine the decomposition of $\mathbb{R}^3$ into symplectic leaves

Why is it important to ask for injectivity and homeomorphisms when defining immersions and embeddings? What's the motivation behind it?

Reference Request: Manifold theory when $\mathbb{R}$ is replaced by a complete ordered field

Verify proof for continuity of pointwise orientation

Linear Manifold - Parallel Space

If $ Df(x) = 0$ then is $M$ necessarily not a manifold?

Hamiltonian vector field proof?

What is a union of n-manifolds?

geodesic balls in Riemannian manifolds with bounded geometry

What is the induced orientation on a 1-manifold with boundary that is the image of closed interval under a smooth immersion?

Naturality of the lie bracket.

The differential $df:T(M)\rightarrow\mathbb{R}$ and the differential map $df:T(M)\rightarrow T(\mathbb{R^1})$ differ by a canonical isomorphism.

homology of a subspaces of product of circles.

Manifold and the topology of $\Bbb R^n$

How metric on tangent space affects topology

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