In addition to the incommensurate magnetic fluctuations already well-e
stablished in La2-xSrxCuO4, we report inelastic neutron scattering exp
eriments that provide clear evidence for a new set of low energy excit
ations. This novel feature of the dynamical structure factor consists
of a two-dimensional quasi-elastic antiferromagnetic signal that sets
in at low temperature well below the superconducting critical temperat
ure.