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15
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Integrating over a range of $xy$- values of a sphere.

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#multivariable-calculus #vector-fields #surface-integrals
723
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Resolving vectors into components parallel and perpendicular to a plane

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#vectors #vector-fields
467
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Is There a Basis for a Smooth Vector Fields on the 2-Sphere?

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#differential-geometry #modules #vector-fields
1.3k
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Differential form is exact, but vector field is not conservative - what did I miss?

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#vector-analysis #differential-forms #vector-fields
245
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Commuting vector fields with common first integrals

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#differential-geometry #classical-mechanics #vector-fields #lie-derivative #integrable-systems
729
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Does every smooth local frame of the tangent bundle correspond to a chart?

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#differential-geometry #smooth-manifolds #vector-fields #tangent-bundle
742
Views

How are these two properties of Conformal Killing Vectors compatible?

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#differential-geometry #riemannian-geometry #mathematical-physics #vector-fields #conformal-geometry
329
Views

How to show that for smooth vector fields, the pushforward is such that $\partial_t|_0{e^{-tX}}_*Y = -[X,Y]$?

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#derivatives #differential-geometry #exponential-function #vector-fields #lie-derivative
67
Views

Finding a line integral of a vector field

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#vector-fields #line-integrals
23
Views

Vector Calculus Identity with multiplicative scalar fields

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#multivariable-calculus #vectors #vector-analysis #vector-fields #substitution
151
Views

Correspondence between $C^k$-vector fields and $C^k$-Diffeomorphisms

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#differential-geometry #lie-groups #smooth-manifolds #vector-fields
103
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Question on definition of derivative of vector fields in Thorpe's Elementary Topics in Differential Geometry

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#differential-geometry #vector-fields
212
Views

Line integral for a circumference

Published on
#vector-spaces #vector-fields
177
Views

Divergence on a parameterised surface

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#differential-geometry #surfaces #vector-fields #parametrization #divergence-operator
207
Views

Applying flow to submanifold

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#differential-geometry #smooth-manifolds #vector-fields

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