On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
Volume 109 / 2007
Colloquium Mathematicum 109 (2007), 13-29
MSC: Primary 53B20, 53B25; Secondary 53C25.
DOI: 10.4064/cm109-1-3
Abstract
We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson–Walker spacetimes.