  We perform a space-time analysis of the D>4 quadratic curvature
Lanczos-Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic
curvatures, lapse and shifts. As expected from general covariance, the field
equations include D constraints, of zeroth and first time derivative order. In
the "linearized" - here necessarily cubic - limit, we give an explicit
formulation in terms of the usual ADM metric decomposition, incidentally
showing that time derivatives act only on its transverse-traceless spatial
components. Unsurprisingly, pure LL has no Hamiltonian formulation, nor are
even its - quadratic - weak field constraints easily soluble. Separately, we
point out that the extended, more physical R+LL, model is stable - its energy
is positive - due to its supersymmetric origin and ghost-freedom.
