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A Class of Lorentzian α-Sasakian Manifolds

Yildiz, Ahmet;Turan, Mine;Murathan, Cengizhan

  • Received : 2007.07.23
  • Accepted : 2009.01.09
  • Published : 2009.12.31

Abstract

In this study we consider ${\varphi}$-conformally flat, ${\varphi}$-conharmonically flat, ${\varphi}$-projectively at and ${\varphi}$-concircularly flat Lorentzian ${\alpha}$-Sasakian manifolds. In all cases, we get the manifold will be an ${\eta}$-Einstein manifold.

Keywords

The Weyl conformal curvature tensor;the conharmoic curvature tensor;the projective curvature tensor;the concircular curvature tensor;Trans-Sasakian manifolds;Lorentzian ${\alpha}$-Sasakian manifolds

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Cited by

  1. On $${\mathcal {M}}$$ M -projectively semisymmetric Lorentzian $$\alpha $$ α -Sasakian manifolds vol.28, pp.5-6, 2017, https://doi.org/10.1007/s13370-017-0493-9
  2. On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds vol.18, 2017, https://doi.org/10.18052/www.scipress.com/IJPMS.18.22