A+ CATEGORY SCIENTIFIC UNIT

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

Volume 109 / 2007

Ryszard Deszcz, Mike Scherfner 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.

Authors

  • 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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