List questions from vector-fields

Published on 23 Apr 2019 - 13:06

1.2k

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Product of vector fields is not a vector field

Published on 23 Apr 2019 - 17:33

270

Views

How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Published on 25 Mar 2026 - 16:03

69

Views

Understanding exactness and finding a potential.$[e^x\cos(\pi y^2)+ay-1]dx+[by\; e^x\sin(\pi y^2)+x+y]dy$

Published on 25 Apr 2019 - 3:50

959

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Compute the line integral of the vector field oriented clockwise

Published on 25 Apr 2019 - 23:16

1.6k

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Does outward-pointing vector field mean each tangent vector at the boundary is outward-pointing?

Published on 26 Apr 2019 - 4:15

82

Views

The value of $\bar{\nabla}_\bar{X}\bar{Y}$ along $M$ doesn't depend on the extension $\bar{Y}$ which we choose for $Y$.

Published on 25 Mar 2026 - 20:12

166

Views

Determining Point Coordinates From a Given Vector Field

Published on 27 Apr 2019 - 0:10

276

Views

Position Vector valued functions and Vector Fields

Published on 27 Apr 2019 - 3:09

281

Views

Submersion admitting a complete Ehresmann connection is a fiber bundle

Published on 25 Mar 2026 - 17:37

113

Views

Non-linear transformation of a vector field

Published on 27 Apr 2019 - 23:12

1k

Views

$F$-related Vector fields and surjective submersion

Published on 29 Apr 2019 - 20:12

159

Views

Prove that a specific vector field is not complete

Published on 30 Apr 2019 - 18:56

515

Views

How can I parameterize the intersection of $x+y+z=0$ and $x^2 +y^2 + z^2 =a^2$?

Published on 26 Mar 2026 - 4:53

388

Views

Existence of global vector fields on a smooth manifold

Published on 02 May 2019 - 11:06

List Question

Restriction of vector field to the circle

Product of vector fields is not a vector field

How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Understanding exactness and finding a potential.$[e^x\cos(\pi y^2)+ay-1]dx+[by\; e^x\sin(\pi y^2)+x+y]dy$

Compute the line integral of the vector field oriented clockwise

Does outward-pointing vector field mean each tangent vector at the boundary is outward-pointing?

The value of $\bar{\nabla}_\bar{X}\bar{Y}$ along $M$ doesn't depend on the extension $\bar{Y}$ which we choose for $Y$.

Determining Point Coordinates From a Given Vector Field

Position Vector valued functions and Vector Fields

Submersion admitting a complete Ehresmann connection is a fiber bundle

Non-linear transformation of a vector field

$F$-related Vector fields and surjective submersion

Prove that a specific vector field is not complete

How can I parameterize the intersection of $x+y+z=0$ and $x^2 +y^2 + z^2 =a^2$?

Existence of global vector fields on a smooth manifold

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