Geometry of LP-Sasakian Manifolds Admitting a General Connection

Rajesh Kumar, Laltluangkima Chawngthu, Oğuzhan Bahadır and Meraj Ali Khan ()
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Rajesh Kumar: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India
Laltluangkima Chawngthu: Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, India
Oğuzhan Bahadır: Department of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, Turkey
Meraj Ali Khan: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia

Mathematics, 2025, vol. 13, issue 6, 1-16

Abstract: This paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold. We also provide the applications of LP-Sasakian manifolds admitting general connections in the context of the general theory of relativity.

Keywords: LP-Sasakian manifold; general connection; projective curvature tensor; conharmonic curvature tensor; quasi-conharmonic curvature tensor; Ricci semi-symmetric manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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