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Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms

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  • Rongsheng Ma
  • Donghe Pei

Abstract

In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric and their relationship between each other. As the application of our theorems, we study the Ricci almost soliton on conformally flat Lorentzian generalized Sasakian-space-form.

Suggested Citation

  • Rongsheng Ma & Donghe Pei, 2019. "Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-7, December.
    • Handle: RePEc:hin:jnlamp:5136758
    DOI: 10.1155/2019/5136758
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    Cited by:

    1. Rongsheng Ma & Donghe Pei, 2022. "The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric," Mathematics, MDPI, vol. 11(1), pages 1-14, December.

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