Question

Every oriented vector bundle admits an orientation reversing isomorphism?

score 305 · Answer 1 · 2017-12-05 07:51:51

305

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Every oriented vector bundle admits an orientation reversing isomorphism?

Published on 05 Dec 2017 - 7:51

score 35 · Answer 2 · 2017-12-05 11:18:51

35

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How to prove that $ \bar e_2 = e_1 \sin (w) + e_2 \cos(w)$ where $w$ is the angle between $e_1$ and $e_2$

Published on 05 Dec 2017 - 11:18

score 437 · Answer 3 · 2017-12-05 11:52:01

437

Views

Definition of the intersection number

Published on 05 Dec 2017 - 11:52

score 530 · Answer 4 · 2017-12-07 01:49:41

530

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Outward-pointing vector field on Projective space

Published on 07 Dec 2017 - 1:49

score 3.3k · Answer 5 · 2017-12-12 21:58:32

3.3k

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How does one orient a simplicial complex?

Published on 12 Dec 2017 - 21:58

score 326 · Answer 6 · 2017-12-13 06:54:33

326

Views

A vector bundle which has an orientation-reversing isomorphism has a subbundle of rank $1$?

Published on 13 Dec 2017 - 6:54

score 129 · Answer 7 · 2018-01-06 01:06:42

129

Views

Parametrize the curve formed by two surfaces for Stokes's Theorem

Published on 06 Jan 2018 - 1:06

score 80 · Answer 8 · 2018-01-06 06:44:17

80

Views

Let $x$ and $y$ are linearly interdependent and that $x+y+z = 0$. Show that $\theta(x,y) + \theta(y,z) + \theta(z,x) = 2\pi$

Published on 06 Jan 2018 - 6:44

score 407 · Answer 9 · 2018-01-06 20:04:35

407

Views

Orientability of triangulated manifold

Published on 06 Jan 2018 - 20:04

score 737 · Answer 10 · 2018-01-06 22:08:20

737

Views

Why boundaries oriented this way for Stokes's Theorem?

Published on 06 Jan 2018 - 22:08

score 217 · Answer 11 · 2020-08-06 16:54:03

217

Views

If $(M,g)$ is a Riemannian manifold and $S$ is a regular level set of $f:M\to \Bbb R$ then $\text{grad}f|_S$ is nowhere vanishing

Published on 06 Aug 2020 - 16:54

score 82 · Answer 12 · 2020-08-12 21:08:20

82

Views

Nonzero class in integral homology implies orientability

Published on 12 Aug 2020 - 21:08

score 60 · Answer 13 · 2020-08-13 10:13:49

60

Views

Expressing a differential form orienting a manifold

Published on 13 Aug 2020 - 10:13

score 920 · Answer 14 · 2026-03-26 04:30:40

920

Views

Tangent bundle $TM\to M$ is an orientable bundle iff $M$ is orientable

Published on 26 Mar 2026 - 4:30

score 93 · Answer 15 · 2020-08-15 08:47:32

93

Views

Doubts about the Zorich explanation of coordinate systems and orientation classes

Published on 15 Aug 2020 - 8:47

List Question

Every oriented vector bundle admits an orientation reversing isomorphism?

How to prove that $ \bar e_2 = e_1 \sin (w) + e_2 \cos(w)$ where $w$ is the angle between $e_1$ and $e_2$

Definition of the intersection number

Outward-pointing vector field on Projective space

How does one orient a simplicial complex?

A vector bundle which has an orientation-reversing isomorphism has a subbundle of rank $1$?

Parametrize the curve formed by two surfaces for Stokes's Theorem

Let $x$ and $y$ are linearly interdependent and that $x+y+z = 0$. Show that $\theta(x,y) + \theta(y,z) + \theta(z,x) = 2\pi$

Orientability of triangulated manifold

Why boundaries oriented this way for Stokes's Theorem?

If $(M,g)$ is a Riemannian manifold and $S$ is a regular level set of $f:M\to \Bbb R$ then $\text{grad}f|_S$ is nowhere vanishing

Nonzero class in integral homology implies orientability

Expressing a differential form orienting a manifold

Tangent bundle $TM\to M$ is an orientable bundle iff $M$ is orientable

Doubts about the Zorich explanation of coordinate systems and orientation classes

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