X a vectorfield on M.

X used to generate an infinitesimal diffeomorphism.

If Then X is a killing vector.

This relation can also be found by plugging in to the equation for an isometry.

The maximum number of KVF's is .

The KVF's form a lie algebra.

For ,They are .

source

psfile jl@crush.caltech.edu index

conformal_killing_vectori