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VOL. 109 2007 NO. 1 ON A PARTICULAR CLASS OF WARPED PRODUCTS WITH FIBRES LOCALLY ISOMETRIC TO GENERALIZED CARTAN HYPERSURFACES BY RYSZARD DESZCZ (Wro aaw) and MIKE SCHERFNER (Berlin) Dedi ated to Professor Marek Abramowi z on his sixtieth birthday Abstra t. We prove that every generalized Cartan hypersurfa e satis es the so alled Roter type equation. Using this fa t, we onstru t a parti ular lass of generalized Robertson Walker spa etimes. 1. Introdu tion. A ording to [8℄ a semi-Riemannian manifold (M, g) with dimM = n ≥ 4 is said to be a Roter type manifold if

On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces