Affiliation:
1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy
Cited by
6 articles.
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