Yazar "Alo J." seçeneğine göre listele
Listeleniyor 1 - 2 / 2
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe Complete spacelike hypersurfaces with constant scalar curvature and sectional curvatures ? 1 in De Sitter S16(1)(2010) Erdogan M.; Alo J.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.Öğe Conformally Osserman Lorentzian manifolds satisfying a certain condition on the Ricci tensor(2011) Erdo?an M.; Alo J.; Pirinçci B.Let (Mn 1, g), n ? 4, be an n-dimensional homogeneous Lorentzian manifold of which the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit timelike (spacelike) tangent vectors (known as conformally Osserman Lorentzian manifolds). Then Mn 1 is a conformally Osserman Lorentzian manifold if and only if Mn 1 is a conformally flat manifold, (Blazic, 2005). In this paper, by utilizing this equivalence and the similar arguments in Erdogan and Ikawa (1995) and Sekigawa and Takagi (1971), we classify locally conformally flat homogeneous Lorentzian manifolds and, equivalently, as well as conformally Osserman Lorentzian manifolds which satisfy a condition on the Ricci tensor. ©2011 Academic Journals.
