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Research Paper | Mathematics | Volume 4 Issue 12, December 2015 | Pages: 2075 - 2078 | India
On Three Dimensional (?) - Lorentzian Para ? Sasakian Manifolds
Abstract: The object of the present paper is to study three dimensional () -Lorentzian Para Sasakian Manifolds. We discussed about an () - Lorentzian Para Sasakian 3-Manifold to be an indefinite space form and get necessary and sufficient condition. Also shown that Ricci semi-symmetric () - Lorentzian Para Sasakian 3-Manifold is an indefinite space form. we investigate the necessary and sufficient condition for an () - Lorentzian Para Sasakian 3-Manifold to be locally -symmetric. We have also proved that in a three- dimensional () - Lorentzian Para Sasakian manifolds with - parallel Ricci tensor the scalar curvature is constant, Finally we give an example of () - Lorentzian Para Sasakian manifolds which verify all results
Keywords: Lorentzian Para Sasakian 3 Manifolds, Ricci, semi symmetric space, locally symmetric space, parallel Ricci tensor
How to Cite?: Gyanvendra Pratap Singh, Sunil Kumar Srivastava, Marutosh Pathak, "On Three Dimensional (?) - Lorentzian Para ? Sasakian Manifolds", Volume 4 Issue 12, December 2015, International Journal of Science and Research (IJSR), Pages: 2075-2078, https://www.ijsr.net/getabstract.php?paperid=23121507, DOI: https://dx.doi.org/10.21275/23121507