Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms
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 eac...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/5136758 |
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| _version_ | 1841524803769466880 |
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| author | Rongsheng Ma Donghe Pei |
| author_facet | Rongsheng Ma Donghe Pei |
| author_sort | Rongsheng Ma |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c81bf7afa88844b98125956034a81be1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c81bf7afa88844b98125956034a81be12025-02-03T05:47:23ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/51367585136758Some Curvature Properties on Lorentzian Generalized Sasakian-Space-FormsRongsheng Ma0Donghe Pei1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaIn 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.http://dx.doi.org/10.1155/2019/5136758 |
| spellingShingle | Rongsheng Ma Donghe Pei Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms Advances in Mathematical Physics |
| title | Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms |
| title_full | Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms |
| title_fullStr | Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms |
| title_full_unstemmed | Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms |
| title_short | Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms |
| title_sort | some curvature properties on lorentzian generalized sasakian space forms |
| url | http://dx.doi.org/10.1155/2019/5136758 |
| work_keys_str_mv | AT rongshengma somecurvaturepropertiesonlorentziangeneralizedsasakianspaceforms AT donghepei somecurvaturepropertiesonlorentziangeneralizedsasakianspaceforms |