New posts in vector-fields

Can we approximate a vector field on the plane with non-vanishing vector fields in $L^2$?

real-analysis differential-topology lp-spaces vector-fields singularity-theory

Electric field and curvature

differential-geometry physics surfaces vector-fields curvature

what is the meaning of the notation $f: A\times B \rightarrow C$

linear-algebra abstract-algebra functions vector-fields function-fields

Divergence in curvilinear coordinates

differential-geometry coordinate-systems derivatives vector-fields

Why the mapping $1/\bar{z}$ look like the field lines of an electric dipole?

complex-analysis graphing-functions vector-fields

Line integral of non conservative vector field

calculus multivariable-calculus vector-fields line-integrals

How to change coordinates of a vectorfield $X$ on $\mathbb{R}P^2$

differential-geometry coordinate-systems vector-fields

Problem on finding integral submanifold of a smooth rank-$2$ distribution .

differential-geometry vector-fields submanifold

Vector fields, line integrals and surface integrals - Why one measures flux across the boundary and the other along?

multivariable-calculus vector-fields surface-integrals line-integrals greens-theorem

(Vishik's Normal Form) Behavior of a vector field near the boundary of a manifold

ordinary-differential-equations differential-topology dynamical-systems smooth-manifolds vector-fields

Explanation for example of flow generated by vector field

Can we actually walk along the gradient of a scalar to climb the hill faster?

multivariable-calculus mathematical-physics vector-fields gradient-descent

Is a general smooth rescaling of a complete vector field itself complete?

differential-geometry partial-differential-equations differential-topology smooth-manifolds vector-fields

Compute the pushforward of the vector field $\frac{\partial}{\partial x^1}$ via a given function $\phi$

differential-geometry polar-coordinates vector-fields

What is the cross product in spherical coordinates?

coordinate-systems vector-fields

Find a vector field $G$ with curl ($G$) = $F$

multivariable-calculus vector-fields

Does every smooth local frame of the tangent bundle correspond to a chart?

differential-geometry smooth-manifolds vector-fields tangent-bundle

Prove the existence of such an immersion

analysis manifolds smooth-manifolds vector-fields

Show $\ker(\alpha)=\ker(\alpha)^2 \ \iff \ \ker(\alpha)\cap \mathrm{Im}(\alpha)=\{0\}$

linear-algebra vector-spaces vector-fields

Lie derivative w.r.t. time-dependent field

differential-geometry differential-forms vector-fields lie-derivative