Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms
Open Access
- 19 December 2019
- journal article
- research article
- Published by Wiley in Advances in Mathematical Physics
- Vol. 2019, 1-7
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.Keywords
Funding Information
- National Natural Science Foundation of China (11671070)
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