International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Complete space-like hypersurfaces with constant scalar curvature and sectional curvatures in De Sitter space

Mehmet Erdogan* and Jeta Alo
Department of Mathematics and Computing, Faculty of Science and Letters, Beykent University, Ayazaga, 34396 Sisli, Istanbul, Turkey.
Email: [email protected]

  •  Accepted: 22 January 2010
  •  Published: 30 April 2010


Hypersurfaces with constant scalar curvature and two different principal curvatures isometrically immersed in an -dimensional space form M’+1 (C)of constant curvature c and especially in   have been extensively investigated within the last four decades. In the present work, we study complete spacelike hypersurfaces with constant scalar curvature and have sectional curvatures  in de Sitter space  and find a result on the type number of such a hypersurface.


Key words: Hypersurfaces, scalar curvature, type number, primary 53c40, secondary 53c15.