Geometry of LP-Sasakian Manifolds Admitting a General Connection

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 ad...

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Main Authors: Rajesh Kumar, Laltluangkima Chawngthu, Oğuzhan Bahadır, Meraj Ali Khan
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/6/902
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author Rajesh Kumar
Laltluangkima Chawngthu
Oğuzhan Bahadır
Meraj Ali Khan
author_facet Rajesh Kumar
Laltluangkima Chawngthu
Oğuzhan Bahadır
Meraj Ali Khan
author_sort Rajesh Kumar
collection DOAJ
description 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.
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institution OA Journals
issn 2227-7390
language English
publishDate 2025-03-01
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spelling doaj-art-80a72c9172c84a09a5b6405a3631d1492025-08-20T01:48:53ZengMDPI AGMathematics2227-73902025-03-0113690210.3390/math13060902Geometry of LP-Sasakian Manifolds Admitting a General ConnectionRajesh Kumar0Laltluangkima Chawngthu1Oğuzhan Bahadır2Meraj Ali Khan3Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, IndiaDepartment of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, IndiaDepartment of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, TurkeyDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi ArabiaThis 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.https://www.mdpi.com/2227-7390/13/6/902LP-Sasakian manifoldgeneral connectionprojective curvature tensorconharmonic curvature tensorquasi-conharmonic curvature tensorRicci semi-symmetric manifold
spellingShingle Rajesh Kumar
Laltluangkima Chawngthu
Oğuzhan Bahadır
Meraj Ali Khan
Geometry of LP-Sasakian Manifolds Admitting a General Connection
Mathematics
LP-Sasakian manifold
general connection
projective curvature tensor
conharmonic curvature tensor
quasi-conharmonic curvature tensor
Ricci semi-symmetric manifold
title Geometry of LP-Sasakian Manifolds Admitting a General Connection
title_full Geometry of LP-Sasakian Manifolds Admitting a General Connection
title_fullStr Geometry of LP-Sasakian Manifolds Admitting a General Connection
title_full_unstemmed Geometry of LP-Sasakian Manifolds Admitting a General Connection
title_short Geometry of LP-Sasakian Manifolds Admitting a General Connection
title_sort geometry of lp sasakian manifolds admitting a general connection
topic LP-Sasakian manifold
general connection
projective curvature tensor
conharmonic curvature tensor
quasi-conharmonic curvature tensor
Ricci semi-symmetric manifold
url https://www.mdpi.com/2227-7390/13/6/902
work_keys_str_mv AT rajeshkumar geometryoflpsasakianmanifoldsadmittingageneralconnection
AT laltluangkimachawngthu geometryoflpsasakianmanifoldsadmittingageneralconnection
AT oguzhanbahadır geometryoflpsasakianmanifoldsadmittingageneralconnection
AT merajalikhan geometryoflpsasakianmanifoldsadmittingageneralconnection