Kyungpook Mathematical Journal

  • 제45권1호
  • /
  • Pages.95-103
  • /
  • 2005
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

On Lorentzian α-Sasakian Manifolds

  • Yildiz, Ahmet (Dumlupinar University, Art and Science Faculty, Department of Mathematics) ;
  • Murathan, Cengizhan (Uludag University, Art and Science Faculty, Department of Mathematics)
  • 투고 : 2004.01.07
  • 발행 : 2005.03.23
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초록

The present paper deals with Lorentzian ${\alpha}-Sasakian$ manifolds with conformally flat and quasi conform ally flat curvature tensor. It is shown that in both cases, the manifold is locally isometric with a sphere $S^{2^{n}+1}(c)$. Further it is shown that an Lorentzian ${\alpha}-Sasakian$ manifold with R(X, Y).C = 0 is locally isometric with a sphere $S^{2^{n}+1}(c)$, where c = ${\alpha}^2$.

키워드

참고문헌

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