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Papers by Peter Wanjohi Njori

Research paper thumbnail of Study of W9 Curvature Tensors on LP Kenmontsu Manifolds

Study of W9: Curvature Tensors on Lorentzian Para-Kenmotsu Manifolds, 2024

Abstract: This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu man... more Abstract: This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu manifolds, expanding upon existing research to explore areas including W_9 flatness, ξ-W_9 flatness, ϕ-W_9 flatness, and W_9 -semi-symmetric on LP-Kenmotsu manifolds. Lorentzian Para-Kenmotsu manifolds satisfying the conditions;
Q.W9=0,W9.Q=0,R.W9=0, and W9.W9=0.
The findings enhance knowledge of the geometric properties of these manifolds and offer fresh insights into the behavior of the W_9-curvature tensor within this context.

Research paper thumbnail of Curvature Tensors on Semi-riemannian and Generalized Sasakian Space Forms Admitting Semi-symmetric Metric Connection

The study deals with curvature tensors on Semi-Riemannian and Generalized Sasakian space forms ad... more The study deals with curvature tensors on Semi-Riemannian and Generalized Sasakian space forms admitting semi-symmetric metric connection. More specifically, the study shall be to investigate the geometry of Semi-Riemannian and generalized Sasakian space forms, when they are  8 W flat,  8 W symmetric,  8 W semisymmetric and  8 W Recurrent and compared to results of projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric on these spaces. Further, the conditions that admit a second order parallel symmetric tensor on functions of such spaces, shall be studied.

Research paper thumbnail of Exploring the dual nature of time as a form of energy and a dimension of space

Exploring the dual nature of time as a form of energy and a dimension of space, 2024

The concept of time has been a subject of intrigue and fascination for centuries. This scientific... more The concept of time has been a subject of intrigue and fascination for centuries. This scientific article aims to delve into the dual nature of time, highlighting its relations as a form of energy (postulation) and its connection as a dimension of space. Drawing from various scientific theories and empirical evidence, we provide a comprehensive examination of these aspects of time, shedding light on its enigmatic nature.

Research paper thumbnail of A study of W7 curvature tensor in para Kenmotsu manifolds

International journal of statistics and applied mathematics, 2021

The object of the present paper is to study certain curvature conditions in Para Kenmotsu manifol... more The object of the present paper is to study certain curvature conditions in Para Kenmotsu manifolds admitting a 7-curvature tensor.

Research paper thumbnail of Modelling and Simulation of Competition for Students’ Population with Holling Type II Response

Journal of Mathematics

The increase in the country’s population attracted the establishment of more schools, both public... more The increase in the country’s population attracted the establishment of more schools, both public and private schools, to cater for the increasing number of students. However, there have been dynamics of students’ population both in public and private schools through transfer from one category of school to the other, through completion of the learning period, and through dropout due to unknown reasons which have subjected both the public and private schools to compete in order to maintain a good number of students. In this work, a modified Lotka–Volterra model of schools and nonenrolled entities population in the education system is studied. Private schools and nonenrolled entities play the role of a predator in public schools. Again, public schools and nonenrolled entities play the role of predators in private schools. Holling type II functional responses have been integrated in the analysis of the Lotka–Volterra model. The equilibrium points are established and their stability are...

Research paper thumbnail of Study of W9 Curvature Tensors on LP Kenmontsu Manifolds

Study of W9: Curvature Tensors on Lorentzian Para-Kenmotsu Manifolds, 2024

Abstract: This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu man... more Abstract: This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu manifolds, expanding upon existing research to explore areas including W_9 flatness, ξ-W_9 flatness, ϕ-W_9 flatness, and W_9 -semi-symmetric on LP-Kenmotsu manifolds. Lorentzian Para-Kenmotsu manifolds satisfying the conditions;
Q.W9=0,W9.Q=0,R.W9=0, and W9.W9=0.
The findings enhance knowledge of the geometric properties of these manifolds and offer fresh insights into the behavior of the W_9-curvature tensor within this context.

Research paper thumbnail of Curvature Tensors on Semi-riemannian and Generalized Sasakian Space Forms Admitting Semi-symmetric Metric Connection

The study deals with curvature tensors on Semi-Riemannian and Generalized Sasakian space forms ad... more The study deals with curvature tensors on Semi-Riemannian and Generalized Sasakian space forms admitting semi-symmetric metric connection. More specifically, the study shall be to investigate the geometry of Semi-Riemannian and generalized Sasakian space forms, when they are  8 W flat,  8 W symmetric,  8 W semisymmetric and  8 W Recurrent and compared to results of projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric on these spaces. Further, the conditions that admit a second order parallel symmetric tensor on functions of such spaces, shall be studied.

Research paper thumbnail of Exploring the dual nature of time as a form of energy and a dimension of space

Exploring the dual nature of time as a form of energy and a dimension of space, 2024

The concept of time has been a subject of intrigue and fascination for centuries. This scientific... more The concept of time has been a subject of intrigue and fascination for centuries. This scientific article aims to delve into the dual nature of time, highlighting its relations as a form of energy (postulation) and its connection as a dimension of space. Drawing from various scientific theories and empirical evidence, we provide a comprehensive examination of these aspects of time, shedding light on its enigmatic nature.

Research paper thumbnail of A study of W7 curvature tensor in para Kenmotsu manifolds

International journal of statistics and applied mathematics, 2021

The object of the present paper is to study certain curvature conditions in Para Kenmotsu manifol... more The object of the present paper is to study certain curvature conditions in Para Kenmotsu manifolds admitting a 7-curvature tensor.

Research paper thumbnail of Modelling and Simulation of Competition for Students’ Population with Holling Type II Response

Journal of Mathematics

The increase in the country’s population attracted the establishment of more schools, both public... more The increase in the country’s population attracted the establishment of more schools, both public and private schools, to cater for the increasing number of students. However, there have been dynamics of students’ population both in public and private schools through transfer from one category of school to the other, through completion of the learning period, and through dropout due to unknown reasons which have subjected both the public and private schools to compete in order to maintain a good number of students. In this work, a modified Lotka–Volterra model of schools and nonenrolled entities population in the education system is studied. Private schools and nonenrolled entities play the role of a predator in public schools. Again, public schools and nonenrolled entities play the role of predators in private schools. Holling type II functional responses have been integrated in the analysis of the Lotka–Volterra model. The equilibrium points are established and their stability are...