Lorentzian manifold
= Lorentzian manifold
{c}
{title2=$(-,+,\ldots,+)$}
A smooth <manifold> carrying a <nondegenerate bilinear form> on each <tangent space>, with one negative and all remaining positive <eigenvalues>, or the overall reversed-sign convention. Its nonzero <null vectors> have vanishing metric <quadratic form>.