New posts in vector-fields

Showing that $\nabla\times(\nabla\times\vec{A}) = \nabla(\nabla\cdot\vec{A})-\Delta\vec{A}$

multivariable-calculus vector-analysis vector-fields divergence-operator curl

Pushfoward of smooth vector field is smooth?

general-topology differential-geometry manifolds differential-topology vector-fields

Is there a canonical way of lifting a vector field $X$ on $M$ to its tangent bundle $TM$?

differential-geometry vector-fields classical-mechanics tangent-bundle

Non-vanishing vector fields on non-compact manifolds

manifolds differential-topology vector-fields

Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same

linear-algebra field-theory finite-fields vector-fields

The relation between two subspaces [duplicate]

linear-algebra abstract-algebra vector-spaces vector-fields

What do the fibers of the double tangent bundle look like?

differential-geometry vector-bundles vector-fields tangent-bundle

Can I comb unoriented hair on a ball?

algebraic-topology manifolds vector-fields line-bundles

Does the "field" over which a vector space is defined have to be a Field?

vector-spaces vector-fields

Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?

differential-geometry lie-groups smooth-manifolds vector-fields

Question related to change of expressions of a vector field

differential-geometry vector-fields

Confusion in Line integral

integration definite-integrals vector-analysis vector-fields

When a vector field can be scaled to form a conservative vector field

partial-differential-equations vector-fields

extending a vector field defined on a closed submanifold

differential-geometry smooth-manifolds vector-fields

Let $X, Y$ be vector fields on a manifold $M$. Show, that $XY$ is not a vector field

differential-geometry manifolds vector-fields

Are there concepts like "Lie group-valued flow"?

differential-geometry lie-groups vector-fields

Do $S^n$ and $\mathbb{R}P^n$ admit the same number of linearly independent vector fields?

algebraic-topology differential-topology vector-fields

The number of linearly independent vector fields on $S^7\times S^5$

differential-topology vector-fields spheres

Vector fields and group actions

differential-geometry group-actions vector-fields

Geometric intuition behind the Lie bracket of vector fields

differential-geometry lie-groups lie-algebras vector-fields lie-derivative