Question

Prove $M$ is orientable

score 412 · Answer 1 · 2017-06-05 12:37:03

412

Views

Prove $M$ is orientable

Published on 05 Jun 2017 - 12:37

score 317 · Answer 2 · 2017-06-12 15:53:52

317

Views

Sufficient condition for orientability of a surface embedded in $\mathbb{R}^3$

Published on 12 Jun 2017 - 15:53

score 404 · Answer 3 · 2017-06-14 14:03:50

404

Views

Preimage orientation of a manifold

Published on 14 Jun 2017 - 14:03

score 64 · Answer 4 · 2017-06-28 19:22:06

64

Views

Is $M:= \{(x,y,z) \in \mathbb R^2: x^2 +y^2 = 1, x+y+z=0 \}$ an oriented smooth manifold?

Published on 28 Jun 2017 - 19:22

score 81 · Answer 5 · 2017-07-02 13:26:22

81

Views

Normal vector of a rotated cell phone

Published on 02 Jul 2017 - 13:26

score 102 · Answer 6 · 2017-07-04 15:34:40

102

Views

Sign of integral of a 2 form

Published on 04 Jul 2017 - 15:34

score 82 · Answer 7 · 2017-07-07 06:15:32

82

Views

Finding the flux of the vector $ \vec F=z\hat k$ across the boundary of a sphere centered around the origin having positive orientation

Published on 07 Jul 2017 - 6:15

score 1.3k · Answer 8 · 2017-07-15 14:48:35

1.3k

Views

Smooth atlas oriented iff transition maps have positive Jacobian determinant

Published on 15 Jul 2017 - 14:48

score 112 · Answer 9 · 2026-02-23 22:24:38

112

Views

Typo in Lee's Introduction to Smooth Manifolds, Exercise 15.30?

Published on 23 Feb 2026 - 22:24

score 1k · Answer 10 · 2026-03-26 01:01:44

1k

Views

Fixed points in mapping from Möbius strip to disk [Explanation or reference needed]

Published on 26 Mar 2026 - 1:01

score 79 · Answer 11 · 2017-07-24 03:16:52

79

Views

The cofiber sequence $\mathbb{C}\mathrm{P}^{n-1}\to\mathbb{C}\mathrm{P}^n\to S^{2n}$

Published on 24 Jul 2017 - 3:16

score 129 · Answer 12 · 2017-08-05 08:32:34

129

Views

If $\phi$ is a orientation preserving linear automorphism, do we really need to choose the same orientation for the domain and the codomain?

Published on 05 Aug 2017 - 8:32

score 74 · Answer 13 · 2017-08-13 09:55:21

74

Views

Can I have more than $2$ orientations on a connected component of a variety?

Published on 13 Aug 2017 - 9:55

score 145 · Answer 14 · 2017-08-14 12:43:44

145

Views

Expressing invertible maps $\bigwedge^{d-1} V \to \bigwedge^{d-1} V$ as $\bigwedge^{d-1}A$ for some $A$

Published on 14 Aug 2017 - 12:43

score 258 · Answer 15 · 2026-03-26 04:14:35

258

Views

(Non)-orientable surfaces and (non)-coorientable surfaces (and a little bit of physics)

Published on 26 Mar 2026 - 4:14

List Question

Prove $M$ is orientable

Sufficient condition for orientability of a surface embedded in $\mathbb{R}^3$

Preimage orientation of a manifold

Is $M:= \{(x,y,z) \in \mathbb R^2: x^2 +y^2 = 1, x+y+z=0 \}$ an oriented smooth manifold?

Normal vector of a rotated cell phone

Sign of integral of a 2 form

Finding the flux of the vector $ \vec F=z\hat k$ across the boundary of a sphere centered around the origin having positive orientation

Smooth atlas oriented iff transition maps have positive Jacobian determinant

Typo in Lee's Introduction to Smooth Manifolds, Exercise 15.30?

Fixed points in mapping from Möbius strip to disk [Explanation or reference needed]

The cofiber sequence $\mathbb{C}\mathrm{P}^{n-1}\to\mathbb{C}\mathrm{P}^n\to S^{2n}$

If $\phi$ is a orientation preserving linear automorphism, do we really need to choose the same orientation for the domain and the codomain?

Can I have more than $2$ orientations on a connected component of a variety?

Expressing invertible maps $\bigwedge^{d-1} V \to \bigwedge^{d-1} V$ as $\bigwedge^{d-1}A$ for some $A$

(Non)-orientable surfaces and (non)-coorientable surfaces (and a little bit of physics)

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