Question

How to generate a Lagrangian subspace of a symplectic space $\mathbb{R}^{4}$?

score 671 · Answer 1 · 2026-04-09 15:23:55

671

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How to generate a Lagrangian subspace of a symplectic space $\mathbb{R}^{4}$?

Published on 09 Apr 2026 - 15:23

score 137 · Answer 2 · 2026-04-09 07:59:47

137

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Conclude that $\sigma$ is a measure on the manifold $E := \{x \in \Bbb R^5: x_1, x_2 \in \Bbb R, x_3 = x_1 + x_2, x_4 = 1, x_5 = 2\}$

Published on 09 Apr 2026 - 7:59

score 746 · Answer 3 · 2026-04-11 20:11:37

746

Views

How to prove that a sphere cannot carry a Lorentz metric?

Published on 11 Apr 2026 - 20:11

score 209 · Answer 4 · 2026-04-07 19:31:28

209

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How to compute the pull-back of a line-element in local coordinates?

Published on 07 Apr 2026 - 19:31

score 821 · Answer 5 · 2026-03-27 04:21:06

821

Views

Going between Heegaard diagrams and framed link diagrams

Published on 27 Mar 2026 - 4:21

score 145 · Answer 6 · 2026-04-10 16:55:06

145

Views

Brown's theorem on Manifolds and Milnor's notation for a peculiar mapping

Published on 10 Apr 2026 - 16:55

score 1.7k · Answer 7 · 2017-02-12 11:38:22

1.7k

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How to prove a graph is a manifold?

Published on 12 Feb 2017 - 11:38

score 64 · Answer 8 · 2026-04-07 21:23:35

64

Views

How to prove $\mathcal{L}_X (vol) = -\delta \alpha \ vol$ where $\alpha = \iota_X (g) $?

Published on 07 Apr 2026 - 21:23

score 141 · Answer 9 · 2017-02-12 13:14:23

141

Views

Is it true that , in a Euclidean space , union of two disjoint smooth manifolds of different dimensions can never be a manifold?

Published on 12 Feb 2017 - 13:14

score 50 · Answer 10 · 2017-02-12 13:52:01

50

Views

How to find such open sets $M$ and $N$ and map bewteen them?

Published on 12 Feb 2017 - 13:52

score 280 · Answer 11 · 2026-03-27 08:41:34

280

Views

Surgery on the unknot - a $D^2$ bundle over $S^2$?

Published on 27 Mar 2026 - 8:41

score 59 · Answer 12 · 2026-04-11 02:49:36

59

Views

Applying the definition of a manifold

Published on 11 Apr 2026 - 2:49

score 84 · Answer 13 · 2026-04-10 11:41:15

84

Views

Euclidean neighbourhood on manifolds

Published on 10 Apr 2026 - 11:41

score 402 · Answer 14 · 2026-04-11 22:30:02

402

Views

Are locally injective maps between topological manifolds topological immersions?

Published on 11 Apr 2026 - 22:30

score 657 · Answer 15 · 2026-04-11 09:30:02

657

Views

Sard's Theorem Proof Detail Question: Regarding Partial Derivatives.

Published on 11 Apr 2026 - 9:30

List Question

How to generate a Lagrangian subspace of a symplectic space $\mathbb{R}^{4}$?

Conclude that $\sigma$ is a measure on the manifold $E := \{x \in \Bbb R^5: x_1, x_2 \in \Bbb R, x_3 = x_1 + x_2, x_4 = 1, x_5 = 2\}$

How to prove that a sphere cannot carry a Lorentz metric?

How to compute the pull-back of a line-element in local coordinates?

Going between Heegaard diagrams and framed link diagrams

Brown's theorem on Manifolds and Milnor's notation for a peculiar mapping

How to prove a graph is a manifold?

How to prove $\mathcal{L}_X (vol) = -\delta \alpha \ vol$ where $\alpha = \iota_X (g) $?

Is it true that , in a Euclidean space , union of two disjoint smooth manifolds of different dimensions can never be a manifold?

How to find such open sets $M$ and $N$ and map bewteen them?

Surgery on the unknot - a $D^2$ bundle over $S^2$?

Applying the definition of a manifold

Euclidean neighbourhood on manifolds

Are locally injective maps between topological manifolds topological immersions?

Sard's Theorem Proof Detail Question: Regarding Partial Derivatives.

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