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On lorentzian α-sasakian manifolds

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2005-03-01

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Kyungpook Natl Univ, Dept Mathematics

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Abstract

The present paper deals with Lorentzian alpha-Sasakian manifolds with conformally flat and quasi conformally flat curvature tensor. It is shown that in both cases, the manifold is locally isometric with a sphere S-2n + 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-2n + 1 (c), where c = alpha(2).

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Trans-sasakian manifolds, Alpha-sasakian manifolds, Lorentzian alpha-sasakian manifolds, Science & technology, Physical sciences, Mathematics

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