Harmonic Metrics On Pseudo-Riemannian Homogeneous Spaces

In this paper, first we mention the definition of harmonic mappings and then we study the harmonicity condition for Lorentzian metrics which are raised fromthe Godel-type spacetimes.

کلیدواژه ها:

Pseudo-Riemannian manifolds ، invariant metrics ، non-trivial isotropy ، harmonic maps.