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Relevant bibliographies by topics / Lorentzian a-Sasakian manifold

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Academic literature on the topic 'Lorentzian a-Sasakian manifold'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Lorentzian a-Sasakian manifold"

1

Singh, G. P., S. S. Mishra, and P. Sharma. "A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold." Extracta Mathematicae 40, no. 1 (2025): 43–56. https://doi.org/10.17398/2605-5686.40.1.43.

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This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold. Additionally, we explore Lorentzian para-Sasakian manifolds that satisfy the ζ-W9-flat condition, revealing that they represent a special type of η-Einstein manifold. Furthermore, it is shown that a W9-flat Lorentzian para-Sasakian manifold is a flat manifold. We also investigate Lorentzian para-Sasakian manifolds that meet W9-recurrent and ϕ-W9-semisymmetric conditions, presenting several significant results from this ana

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2

Perktas, Selcen Yüksel, Erol Kiliç, and Sadik Keles. "Hypersurfaces of Lorentzian para-Sasakian manifolds." MATHEMATICA SCANDINAVICA 109, no. 1 (2011): 5. http://dx.doi.org/10.7146/math.scand.a-15174.

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In this paper we study the invariant and noninvariant hypersurfaces of $(1,1,1)$ almost contact manifolds, Lorentzian almost paracontact manifolds and Lorentzian para-Sasakian manifolds, respectively. We show that a noninvariant hypersurface of an $(1,1,1)$ almost contact manifold admits an almost product structure. We investigate hypersurfaces of affinely cosymplectic and normal $(1,1,1)$ almost contact manifolds. It is proved that a noninvariant hypersurface of a Lorentzian almost paracontact manifold is an almost product metric manifold. Some necessary and sufficient conditions have been gi

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3

Perktaş, Selcen, Erol Kiliç, and Sadik Keleş. "Biharmonic Hypersurfaces of LP-Sasakian Manifolds." Annals of the Alexandru Ioan Cuza University - Mathematics 57, no. 2 (2011): 387–408. http://dx.doi.org/10.2478/v10157-011-0034-z.

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Biharmonic Hypersurfaces of LP-Sasakian Manifolds In this paper the biharmonic hypersurfaces of Lorentzian para-Sasakian manifolds are studied. We firstly find the biharmonic equation for a hypersurface which admits the characteristic vector field of the Lorentzian para-Sasakian as the normal vector field. We show that a biharmonic spacelike hypersurface of a Lorentzian para-Sasakian manifold with constant mean curvature is minimal. The biharmonicity condition for a hypersurface of a Lorentzian para-Sasakian manifold is investigated when the characteristic vector field belongs to the tangent h

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4

Laha, Barnali, Bandana Das, and Arindam Bhattacharyya. "Contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold." Acta Universitatis Sapientiae, Mathematica 5, no. 2 (2013): 157–68. http://dx.doi.org/10.2478/ausm-2014-0011.

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Abstract In this paper we prove some properties of the indefinite Lorentzian para-Sasakian manifolds. Section 1 is introductory. In Section 2 we define D-totally geodesic and D⊥-totally geodesic contact CRsubmanifolds of an indefinite Lorentzian para-Sasakian manifold and deduce some results concerning such a manifold. In Section 3 we state and prove some results on mixed totally geodesic contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold. Finally, in Section 4 we obtain a result on the anti-invariant distribution of totally umbilic contact CR-submanifolds of an indefin

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5

Ahmad, Arjumand, and Shamsur Rahman. "A Note on Transversal hypersurfaces of Lorentzian para-Sasakian manifolds with a Semi-Symmetric Non-Metric Connection." Journal of the Tensor Society 8, no. 01 (2007): 53–63. http://dx.doi.org/10.56424/jts.v8i01.10558.

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Transversal hypersurfaces of Lorentzian para-Sasakian manifold are defined. It is proved that the fundamental 2-form on the transversal hypersurfaces of Lorentzian para-Sasakian manifold with (f, g, u, v, λ)-structure are closed. In this paper it is shown that transversal hypersurfaces of Lorentzian para-Sasakian manifold admits a product structure with a semi symmetric non metric connection. It is shown that transversal hypersurfaces of Lorentzian para-Sasakian manifold with a semi symmetric non metric connection are closed

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6

Khan, M. N. I., U. C. De та M. A. Choudhary. "Liftings from Lorentzian α-Sasakian manifolds to tangent bundles". BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 118, № 2 (2025): 137–46. https://doi.org/10.31489/2025m2/137-146.

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The goal of the current study is to investigate the complete lift of Lorentzian α-Sasakian manifolds to the tangent bundle TM. We also examine the complete lift of the different four types of Lorentzian αSasakian manifolds and find that (TM,gC) is an η-Einstein manifold in each instance. In order to show that a Lorentzian α-Sasakian manifold exists on TM, a non-trivial example by means of partial differential equations is built in the final section.

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7

HASEEB, ABDUL, and SUDHAKAR K. CHAUBEY. "Lorentzian Para-Sasakian Manifolds and *-Ricci Solitons." Kragujevac Journal of Mathematics 48, no. 2 (2024): 167–79. http://dx.doi.org/10.46793/kgjmat2402.167h.

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We study the properties of Lorentzian para-Sasakian manifolds endowed with ∗-Ricci solitons and gradient ∗-Ricci solitons. Finally, the existence of ∗-Ricci soliton on a 4-dimensional Lorentzian para-Sasakian manifold is proved by constructing a non-trivial example

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8

Siddiqi, Mohd Danish. "On δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection". Boletim da Sociedade Paranaense de Matemática 39, № 5 (2021): 113–35. http://dx.doi.org/10.5269/bspm.41108.

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The aim of the present research is to study the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric connection. We have found the expressions for curvature tensors, Ricci curvature tensors and scalar curvature of the δ-Lorentzian trans Sasakian manifolds with a semi-symmetric metric and metric connection. Also, we have discussed some results on quasi-projectively flat and ϕ-projectively flat manifolds endowed with a semi-symmetric-metric connection. It shown that the manifold satisfying¯R. ¯ S = 0,¯P, ¯ S = 0.Lastly, we have obtained the conditions for the δ-Lorentzian Trans Sas

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9

Lee, Ji-Eun. "Slant Curves and Contact Magnetic Curves in Sasakian Lorentzian 3-Manifolds." Symmetry 11, no. 6 (2019): 784. http://dx.doi.org/10.3390/sym11060784.

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In this article, we define Lorentzian cross product in a three-dimensional almost contact Lorentzian manifold. Using a Lorentzian cross product, we prove that the ratio of κ and τ − 1 is constant along a Frenet slant curve in a Sasakian Lorentzian three-manifold. Moreover, we prove that γ is a slant curve if and only if M is Sasakian for a contact magnetic curve γ in contact Lorentzian three-manifold M. As an example, we find contact magnetic curves in Lorentzian Heisenberg three-space.

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10

Rahman, Shamsur. "Characterization of Quarter Symmetric Non-Metric Connection on Transversal Hypersurfaces of Lorentzian para-Sasakian Manifolds." Journal of the Tensor Society 8, no. 01 (2007): 65–75. http://dx.doi.org/10.56424/jts.v8i01.10557.

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In the present paper, quarter symmetric non metric connection on transversal hypersurfaces of Lorentzian para-Sasakian manifold is defined. It is studied the characterization of connections for product structure and it is shown that each transversal hypersurfaces of Lorentzian para-Sasakian manifold admits an almost product Lorentzian structure on a quarter symmetric non metric connection. Some characterization of transversal hypersurfaces of Lorentzian paraSasakian manifold with a quarter symmetric non metric connection are studied which are closed.

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