Projective Vector Field

A projective vector field (projective) is a smooth vector field on a semi Riemannian manifold (p.ex. spacetime) whose flow preserves the geodesic structure of without necessarily preserving the affine parameter of any geodesic. More intuitively, the flow of the projective maps geodesics smoothly into geodesics without preserving the affine parameter.

Read more about Projective Vector Field:  Decomposition, Subalgebras, Applications

Famous quotes containing the word field:

    “Last night I watched my brothers play,
    The gentle and the reckless one,
    In a field two yards away.
    For half a century they were gone
    Beyond the other side of care
    To be among the peaceful dead.”
    —Edwin Muir (1887–1959)