an:00961241
Zbl 0873.53009
Ikemakhen, A.
Examples of indecomposable non-irreducible Lorentzian manifolds
EN
Ann. Sci. Math. Qu??. 20, No. 1, 53-66 (1996).
00031896
1996
j
53B30
non-irreducible manifolds; indecomposable manifolds; Einstein manifold; holonomy groups
The author considers holonomy groups of indecomposable non-irreducible Lorentzian manifolds. He constructs a coordinate system in which he obtains a reduced form of the metric of such a manifold. Moreover, he describes some particular cases when there is further information about the restricted holonomy group of the metric. Finally, he shows that an Einstein Lorentzian manifold can be neither of type 3 nor of type 4.
M.Hotlo?? (Wroc??aw)