Next Article in Journal
Spectral Models for Subsidy Allocation in Industrial Systems
Next Article in Special Issue
Comparative Analysis of Second- and Fourth-Order Runge–Kutta Methods for Solving Chaotic Dynamical Systems
Previous Article in Journal
Feedback Control Design for Time-Delay Systems Based on the Manabe Polynomial Concept Under Unmodeled Input Delay
Previous Article in Special Issue
Efficient Parameter Estimation for Oscillatory Biochemical Reaction Networks via a Genetic Algorithm with Adaptive Simulation Termination
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
AppliedMath
Volume 6
Issue 4
10.3390/appliedmath6040052
appliedmath-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Generalized B-Curvature Tensor in Lorentzian Para-Kenmotsu Manifold with Semi-Symmetric Metric Connection

by
Rajendra Prasad
1,
Najwa Mohammed Al-Asmari
2,
Abdul Haseeb
3,* and
Sushmita Sen
1
1
Department of Mathematics and Astronomy, University of Lucknow, Lucknow 226007, India
2
Department of Mathematics, King Khalid University, Mohail Aseer 63412, Saudi Arabia
3
Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
*
Author to whom correspondence should be addressed.
AppliedMath 2026, 6(4), 52; https://doi.org/10.3390/appliedmath6040052
Submission received: 31 December 2025 / Revised: 10 March 2026 / Accepted: 20 March 2026 / Published: 24 March 2026
(This article belongs to the Special Issue Advances in Iterative Methods and Stability Analysis for Solving Nonlinear Problems)
Versions Notes

Abstract

The main object of this work is to study the generalized B-curvature tensor in an n-dimensional Lorentzian para-Kenmotsu (briefly, (LPK)n) manifold along a semi-symmetric metric connection ∇¯. First, in an (LPK)n-manifold, we explore certain flatness conditions, namely, B¯(Y,Z)X=0, B¯(Y,Z)ζ=0, g(B¯(φY,φZ)φX,φW)=0, and B¯(Y,Z)·φ=0 conditions, which all result in an η-Einstein manifold. Furthermore, in an (LPK)n-manifold, we study the curvature conditions B¯.Q=0 and B¯.Q¯ = 0, which provide the scalar curvature. The generalized B-curvature tensor blends the features of different curvature tensors, allowing researchers to study conditions like semi-symmetry, pseudo-symmetry in a unified framework. Conditions like B-semi-symmetry correspond to conservation laws or stability properties in physical systems.
Keywords: generalized B-curvature tensor; Lorentzian para-Kenmotsu manifold; Ricci tensor; curvature tensor; linear connection generalized B-curvature tensor; Lorentzian para-Kenmotsu manifold; Ricci tensor; curvature tensor; linear connection

Share and Cite

MDPI and ACS Style

Prasad, R.; Al-Asmari, N.M.; Haseeb, A.; Sen, S. Generalized B-Curvature Tensor in Lorentzian Para-Kenmotsu Manifold with Semi-Symmetric Metric Connection. AppliedMath 2026, 6, 52. https://doi.org/10.3390/appliedmath6040052

AMA Style

Prasad R, Al-Asmari NM, Haseeb A, Sen S. Generalized B-Curvature Tensor in Lorentzian Para-Kenmotsu Manifold with Semi-Symmetric Metric Connection. AppliedMath. 2026; 6(4):52. https://doi.org/10.3390/appliedmath6040052

Chicago/Turabian Style

Prasad, Rajendra, Najwa Mohammed Al-Asmari, Abdul Haseeb, and Sushmita Sen. 2026. "Generalized B-Curvature Tensor in Lorentzian Para-Kenmotsu Manifold with Semi-Symmetric Metric Connection" AppliedMath 6, no. 4: 52. https://doi.org/10.3390/appliedmath6040052

APA Style

Prasad, R., Al-Asmari, N. M., Haseeb, A., & Sen, S. (2026). Generalized B-Curvature Tensor in Lorentzian Para-Kenmotsu Manifold with Semi-Symmetric Metric Connection. AppliedMath, 6(4), 52. https://doi.org/10.3390/appliedmath6040052

Article Metrics

Back to TopTop