Complete spacelike hypersurfaces with constant scalar curvature and sectional curvatures ? 1 in De Sitter S16(1)
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Date
2010
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info:eu-repo/semantics/closedAccess
Abstract
Hypersurfaces with constant scalar curvature and two different principal curvatures isometrically immersed in an (n+1)-dimensional space form M'+1 (C) of constant curvature c and especially in Sn+1(C) 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 K(phi;) ?1 in de Sitter space S16(1) and find a result on the type number of such a hypersurface. © 2010 Academic Journals.
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Keywords
Hypersurfaces, Primary 53c40, Scalar curvature, Secondary 53c15, Type number
Journal or Series
International Journal of Physical Sciences
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N/A
Volume
5
Issue
4
