# lie transformationの例文

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- In particular, points are not preserved by general
*Lie transformations*. - Lie sphere geometry is the geometry of the Lie quadric and the
*Lie transformations* which preserve it. - The
*Lie transformations* preserve the contact elements, and act transitively on " Z " 3. - The fact that
*Lie transformations* do not preserve points in general can also be a hindrance to understanding Lie sphere geometry. - The subgroup of
*Lie transformations* preserving the point cycles is essentially the subgroup of orthogonal transformations which preserve the chosen timelike direction.