Question

Prove that $\gamma$ is constant iff $\gamma′(t) = 0$ for all $t \in J$ if there is always an interval containing $t$ in which $ \gamma$ is const

score 66 · Answer 1 · 2023-11-23 12:20:58

66

Views

Prove that $\gamma$ is constant iff $\gamma′(t) = 0$ for all $t \in J$ if there is always an interval containing $t$ in which $ \gamma$ is const

Published on 23 Nov 2023 - 12:20

score 60 · Answer 2 · 2026-03-26 19:01:52

60

Views

Confused by the path I am asked to follow in order to solve the killing equation on S2.

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score 58 · Answer 3 · 2023-11-25 06:54:08

58

Views

Smoothness of vector field equivalent to smoothness of its components in any chart

Published on 25 Nov 2023 - 6:54

score 39 · Answer 4 · 2023-11-25 19:55:27

39

Views

Flow of y$\frac{\partial}{\partial x} +\frac{\partial}{\partial y} $

Published on 25 Nov 2023 - 19:55

score 25 · Answer 5 · 2023-11-26 20:00:48

25

Views

Showing that if $X$ is left-invariant and $\varphi(\sigma)=\sigma^{-1},$ then $d\varphi(X)$ is right-invariant.

Published on 26 Nov 2023 - 20:00

score 99 · Answer 6 · 2023-11-30 15:27:55

99

Views

Index of a vector field on the unit sphere

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score 73 · Answer 7 · 2023-12-01 08:55:52

73

Views

Why smooth vector field, not non smooth ones?

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score 62 · Answer 8 · 2026-03-27 16:26:21

62

Views

Distortion of Volume along Geodesic Curves

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score 63 · Answer 9 · 2023-12-03 04:40:02

63

Views

Proof verification: horizontal vector fields

Published on 03 Dec 2023 - 4:40

score 37 · Answer 10 · 2026-03-27 17:29:09

37

Views

Divergence of two orthogonal vector fields

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score 147 · Answer 11 · 2023-12-05 17:42:42

147

Views

A lemma to the escape lemma (Lee' Intro to smooth manifolds Lemma 9.19)

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score 13 · Answer 12 · 2026-02-28 16:43:35

13

Views

Does F must be a conservative vector field?

Published on 28 Feb 2026 - 16:43

score 147 · Answer 13 · 2023-12-06 18:52:22

147

Views

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Published on 06 Dec 2023 - 18:52

score 72 · Answer 14 · 2026-03-27 16:21:07

72

Views

Lie brackets of affine vector fields

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score 31 · Answer 15 · 2023-12-10 19:33:09

31

Views

Missing term on the divergence expression in local coordinates

Published on 10 Dec 2023 - 19:33

List Question

Prove that $\gamma$ is constant iff $\gamma′(t) = 0$ for all $t \in J$ if there is always an interval containing $t$ in which $ \gamma$ is const

Confused by the path I am asked to follow in order to solve the killing equation on S2.

Smoothness of vector field equivalent to smoothness of its components in any chart

Flow of y$\frac{\partial}{\partial x} +\frac{\partial}{\partial y} $

Showing that if $X$ is left-invariant and $\varphi(\sigma)=\sigma^{-1},$ then $d\varphi(X)$ is right-invariant.

Index of a vector field on the unit sphere

Why smooth vector field, not non smooth ones?

Distortion of Volume along Geodesic Curves

Proof verification: horizontal vector fields

Divergence of two orthogonal vector fields

A lemma to the escape lemma (Lee' Intro to smooth manifolds Lemma 9.19)

Does F must be a conservative vector field?

How do I prove the escape lemma?

Lie brackets of affine vector fields

Missing term on the divergence expression in local coordinates

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