Why do we need null-homotopy to follow that a vector field is conservative if its curls is zero?
58022
Does zero curl imply a conservative field?
4421
Proof that total derivative is the only function that can be added to Lagrangian without changing the EOM
74540
Pullback of a Volume Form Under a Diffeomorphism.
67258
Why is a conservative force defined as the negative gradient of a potential?
32458
Does the rank-nullity theorem hold for infinite dimensional $V$?
118663
Looking for a Simple Argument for "Integral Curve Starting at A Singular Point is Constant"
121643
Why isn't the zero ring the field with one element?
105660
Invariance of action $\Rightarrow$ covariance of field equations?
121830
The commutators of related vector fields are related
95076
Finding a vector potential for a solenoidal vector field
98800
Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?
154774
Why is electric field zero where equipotential surfaces intersect?
91440
Existence of a vector field with one singularity on a surface
93160
Null Space of Transformation
119947
Can a non-zero vector have zero image under every linear functional?
9705
Sensitivity to initial conditions and topological transitivity
105248
Why is the gradient of implicit surface the normal vector (i.e. parallel to the normal line)?