HIGHLIGHTS
SUMMARY
The cross product in the three dimensional Euclidean space is used to describe the angular velocity, the torque of a force, or even to describe the Lorentz - → - → → v × B, i.e., a force acting on a particle with charge q which moves at velocity force, F=q- - → - → v in a magnetic_field B. A closed 2form on M defines a magnetic_field F and its corresponding Lorentz force φ is a -tensor field F ( X, Y )=g(φX, Y ), X, Y ∈ X( M ). A smooth curve γ on M is called a magnetic curve, or a trajectory corresponding . . .
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