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

Ryszard Deszcz; Mike Scherfner

doi:10.4064/cm109-1-3

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

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

Tom 109 / 2007

Ryszard Deszcz, Mike Scherfner Colloquium Mathematicum 109 (2007), 13-29 MSC: Primary 53B20, 53B25; Secondary 53C25. DOI: 10.4064/cm109-1-3

Streszczenie

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.

Autorzy

Ryszard DeszczDepartment of Mathematics
Wrocław University of Environmental
and Life Sciences
Grunwaldzka 53
50-357 Wrocław, Poland
e-mail
Mike ScherfnerInstitute of Mathematics
Technische Universität Berlin
Str. d. 17. Juni 136
10623 Berlin, Germany
e-mail

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