Results 21 to 30 of about 507 (127)

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
Sufficient conditions on a pseudoprojective symmetric spacetime (PPS)n whose Ricci tensor is of Codazzi type to be either a perfect fluid or Einstein spacetime are given. Also, it is shown that a (PPS)n is Einstein if its Ricci tensor is cyclic parallel. Next, we illustrate that a conformally flat (PPS)n spacetime is of constant curvature.
Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied, Nasser Bin Turki, Sergey Shmarev   +4 more
wiley   +1 more source

Design Optimization of an Integrated E‐Type Multilink Suspension Wheel‐Side Drive System and Improvement of Vehicle Ride Comfort

Shock and Vibration, Volume 2021, Issue 1, 2021., 2021
Distributed‐drive electric vehicles constitute an important research direction for the future development of electric vehicles. In this regard, the integrated suspension wheel‐side drive system has considerable development potential because it can address the lack of driving smoothness and the grounding deterioration caused by the excessive unsprung ...
Wen Lu, Wenbo Li, Xinbo Chen, Mohamed A. A. Abdelkareem   +3 more
wiley   +1 more source

A New Class of Contact Pseudo Framed Manifolds with Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)‐manifolds (M, g, f, λ, ξ) by a real tensor field f of type (1,1), a real function λ such that f3 = λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a closed 2‐form Ω if λ is constant.
K. L. Duggal, Luca Vitagliano
wiley   +1 more source

Certain Class of Almost α‐Cosymplectic Manifolds

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
This paper concerned with almost α‐cosymplectic manifolds satisfying conformally flat condition. Firstly, we investigate Kaehler integral submanifolds of almost α‐cosymplectic manifolds. Next, we study conformally flat almost α‐cosymplectic manifolds of dim ≥ 5 whose integral submanifolds are Kaehler.
Sermin Öztürk, Hakan Öztürk, Carmelo Antonio Finocchiaro   +2 more
wiley   +1 more source

Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors [PDF]

, 1999
The expression of the vector field generator of a Ricci Collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained.
A. H. Bokhari, A. H. Bokhari, D. Kramer, G. Contreras, G. H. Katzin, J. Carot, L. A. Nùñez, L. A. Núñez, M. J. Amir, R. Bertolotti, R. Chan, U. Percoco   +11 more
core   +2 more sources

Approximate Lie Symmetry Conditions of Autoparallels and Geodesics

Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020
This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an affine parametrization. In particular, we formulate the first‐order symmetry determining equations based on geometric requirements and ...
Sameerah Jamal, Shi Liang Wu
wiley   +1 more source

Classification of Spherically Symmetric Static Spacetimes according to their Matter Collineations [PDF]

, 2003
The spherically symmetric static spacetimes are classified according to their matter collineations. These are studied when the energy-momentum tensor is degenerate and also when it is non-degenerate.
A. A. Coley, A. Z. Petrov, C. W. Misner, G. H. Katzin, G. S. Hall, I. Yavuz, J. Carot, J. Carot, L. H. Green, L. Hojman, M. J. Amir, M. Sharif, M. Sharif, M. Sharif, M. Tsamparlis, Sehar Aziz, U. Camci, U. Camci, U. Camci, U. Camci   +19 more
core   +2 more sources

Symmetries of Bianchi I space-times [PDF]

, 2000
All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of ...
Belinski V. A., Bilyalov R. F., Carter B., Coley A. A., Coley A. A., Datta B. K., Geroh R. P., Hall G. S., Hall G. S., Hall G. S., Hall G. S., Kolassis C. A., Maartens R., Maartens R., Melfo A., Michael Tsamparlis, Pantelis S. Apostolopoulos, Rendall A. D., Sintes A. M., van den Hoogen R. J.   +19 more
core   +3 more sources

Homotheties of a Class of Spherically Symmetric Space‐Time Admitting G3 as Maximal Isometry Group

Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018
The homotheties of spherically symmetric space‐time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space‐time admitting G3 as isometry groups, the solution in the form of differential constraints on metric coefficients requires further classification. For a class of spherically symmetric space‐time admitting G3
Daud Ahmad, Kashif Habib, Kaliyaperumal Nakkeeran   +2 more
wiley   +1 more source