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Volume 13
Issue 6
10.3390/math13060902
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Article

Geometry of LP-Sasakian Manifolds Admitting a General Connection

by
Rajesh Kumar
1,
Laltluangkima Chawngthu
2,
Oğuzhan Bahadır
3 and
Meraj Ali Khan
4,*
1
Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India
2
Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, India
3
Department of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, Turkey
4
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(6), 902; https://doi.org/10.3390/math13060902
Submission received: 20 February 2025 / Revised: 3 March 2025 / Accepted: 6 March 2025 / Published: 7 March 2025
(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications)
Versions Notes

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 LP-Sasakian manifold; general connection; projective curvature tensor; conharmonic curvature tensor; quasi-conharmonic curvature tensor; Ricci semi-symmetric manifold

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MDPI and ACS Style

Kumar, R.; Chawngthu, L.; Bahadır, O.; Khan, M.A. Geometry of LP-Sasakian Manifolds Admitting a General Connection. Mathematics 2025, 13, 902. https://doi.org/10.3390/math13060902

AMA Style

Kumar R, Chawngthu L, Bahadır O, Khan MA. Geometry of LP-Sasakian Manifolds Admitting a General Connection. Mathematics. 2025; 13(6):902. https://doi.org/10.3390/math13060902

Chicago/Turabian Style

Kumar, Rajesh, Laltluangkima Chawngthu, Oğuzhan Bahadır, and Meraj Ali Khan. 2025. "Geometry of LP-Sasakian Manifolds Admitting a General Connection" Mathematics 13, no. 6: 902. https://doi.org/10.3390/math13060902

APA Style

Kumar, R., Chawngthu, L., Bahadır, O., & Khan, M. A. (2025). Geometry of LP-Sasakian Manifolds Admitting a General Connection. Mathematics, 13(6), 902. https://doi.org/10.3390/math13060902

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