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15
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Does curl vector influence the final destination of a particle?

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#vector-spaces #vector-analysis #vector-fields #exterior-algebra #frobenius-method
60
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Using the calculus of one forms prove this identity

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#differential-geometry #proof-verification #manifolds #differential-forms #vector-fields
645
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In a directional slope field, how can a straight line be a solution to a differential equation?

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#ordinary-differential-equations #vector-fields #differential
112
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Partial Differential Equation using theory of manifolds

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#ordinary-differential-equations #manifolds #smooth-manifolds #vector-fields
126
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If $\nabla X=h \cdot \text{Id}_{TM}$ for a vector field $X$ and $h \in C^{\infty}(M)$, is $h$ constant?

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#riemannian-geometry #vector-fields #connections
86
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Equivalent definition of vector field over $S^2$

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#differential-geometry #vector-fields #tangent-bundle
76
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Study of a " flow "

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#complex-analysis #vector-fields
67
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Extension of a gradient field

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#ordinary-differential-equations #vector-analysis #vector-fields
200
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how to sketch the field lines of $F(x,y)=(\sin y,-\sin x)$?

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#ordinary-differential-equations #vector-analysis #vector-fields
1.1k
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Is a vector field a mathematical field?

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#differential-geometry #field-theory #definition #vector-fields
759
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Differential $1$ forms as linear maps

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#differential-geometry #manifolds #smooth-manifolds #differential-forms #vector-fields
949
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Dot product in the line integral of a vector field

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#multivariable-calculus #vector-fields
133
Views

Can we characterise concircular vector fields by their flow?

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#differential-geometry #riemannian-geometry #vector-fields #symmetry #conformal-geometry
444
Views

Proof about sum of indices of singular points

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#manifolds #vector-fields #winding-number
246
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Interchanging Duals and Metrics for Riemann Curvature Definition

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#differential-geometry #riemannian-geometry #differential-forms #curvature #vector-fields

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