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15
305
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Lie bracket of left invariant vector fields on Torus

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#differential-geometry #lie-groups #lie-algebras #smooth-manifolds #vector-fields
56
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Differential of the inverse map gives rise to the bracket of vector fields being zero

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#differential-geometry #lie-groups #smooth-manifolds #vector-fields
43
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Is this function an open mapping? $(X,Y)\mapsto Yh(p)\cdot X(p) - Xh(p) Y(p). $

Published on
#real-analysis #manifolds #differential-topology #smooth-manifolds #vector-fields
149
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A relationship between the values of an invariant vector field at the identity and another element

Published on
#differential-geometry #lie-groups #lie-algebras #smooth-manifolds #vector-fields
581
Views

What exactly is a potential?

Published on
#physics #vector-fields #fluid-dynamics
40
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On singular streamlines and properties of direction vector fields

Published on
#ordinary-differential-equations #vector-fields
204
Views

Can I write v-v=O and also v-v=0

Published on
#linear-algebra #vectors #vector-fields
88
Views

Flows of vector fields and push-backs

Published on
#differential-geometry #vector-fields
103
Views

What is the meaning of "values coincides with the convex closure of the eigenvalues"?

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-equations #vector-fields
705
Views

Understanding how vector normal to tangent plane is of form $<f_x(a,b), f_y(a,b), -1)>$, also about Stokes theorem

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#multivariable-calculus #vectors #vector-fields
49
Views

Closed loops on nonconservative vector field

Published on
#calculus #vector-spaces #vector-fields #greens-theorem
323
Views

Finding a potential function for $\vec F=\frac{-y}{x^2+y^2}\vec i+\frac{x}{x^2+y^2}\vec j$ on $\Omega=\mathbb{R}^2- \{(x,y)\,|\,y=0,\,x\geq0 \}$

Published on
#calculus #multivariable-calculus #vector-analysis #vector-fields #differential-operators
498
Views

Formula for Lie derivative along a time-dependent vector field

Published on
#differential-geometry #differential-forms #vector-fields #lie-derivative
45
Views

Why the relation $\mathbf{E}=-\nabla \psi$ holds at points $P \in V'$?

Published on
#multivariable-calculus #physics #mathematical-physics #vector-fields #potential-theory
36
Views

How to applied the calculus vectorial properties?

Published on
#ordinary-differential-equations #partial-differential-equations #vector-fields

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