Results 21 to 30 of about 130 (98)
Geometry of warped product pseudo slant submanifolds in nearly Lorentzian para Sasakian Manifold [PDF]
Journal of Hyperstructures, 2023 The object of the present paper is to study Lorentzian para-Sasakian manifold on a pseudo slant submanifold and usingsome properties like warped product on manifolds, totally geodesic foliation, integrability on the properties of nearly Lorentzian para ...
Shamsur Rahman, Avijit Kumar Paul
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Warped product CR-submanifolds in Lorentzian para Sasakian manifolds [PDF]
, 2010 Summary: Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. \textit{B. Y. Chen} [Monatsh. Math. 133, No.3, 177--195 (2001; Zbl 0996.53044)]; \textit{I. Hasegawa} and \textit{I. Mihai} [Geom. Dedicata 102, 143--150 (2003; Zbl 1066.53103)]; \textit{M. I.
Uddin, Siraj
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On Quasi Hemi-Slant Submersions
Communications in Advanced Mathematical Sciences, 2023 The paper deals with the notion of quasi hemi-slant submersions from Lorentzian para Sasakian manifolds onto Riemannian manifolds. These submersions are generalization of hemi-slant submersions and semi-slant submersions. In this paper, we also study the
Sushil Kumar, Pramod Kumar Rawat
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ON CONFORMAL QUASI HEMI-SLANT SUBMERSIONS FROM LORENTZIAN PARA SASAKIAN MANIFOLDS ONTP RIEMANNIAN MANIFOLDS [PDF]
, 2023 In the present article, our purpose is to define and study conformal quasi hemi-slant submersions (cqhs submersions, in short) from Lorentzian para Sasakian manifolds onto Riemannian manifolds. Its geometric properties are also investigated.
Kumar, Sushil +2 more
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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 +5 more
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Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
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LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD
Facta Universitatis, Series: Mathematics and Informatics, 2023 In this paper, we introduce an indefinite LP-Sasakian statistical manifold and study lightlike submanifold of an indefinite LP-Sasakian statistical manifold. We also introduce some relations among induced geometrical objects with respect to dual connections in a lightlike submanifold of an indefinite LP-Sasakian statistical manifold.
Mobin Ahmad, Mahtab Alam
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Biharmonic Curves in a Strict Walker 3‐Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the geometry of biharmonic curves in a strict Walker 3‐manifold and we obtain explicit parametric equations for biharmonic curves and time‐like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold.
Mamadou Gningue +3 more
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Sub‐Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We consider the sub‐Lorentzian geometry of curves and surfaces in the Lie group E(1, 1). Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E(1, 1) which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L.
Haiming Liu +2 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The group of rigid motions of the Minkowski plane with a general left‐invariant metric is denoted by (E(1, 1), g(λ1, λ2)), where λ1 ≥ λ2 > 0. It provides a natural 2‐parametric deformation family of the Riemannian homogeneous manifold Sol3 = (E(1, 1), g(1, 1)) which is the model space to solve geometry in the eight model geometries of Thurston. In this
Jianyun Guan +2 more
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