Results 41 to 50 of about 266 (135)
Radical Transversal Lightlike Submanifolds of Indefinite Para-Sasakian Manifolds
Demonstratio Mathematica, 2014 In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds.
Shukla S.S., Yadav Akhilesh
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A Note on Nearly Sasakian Manifolds
Mathematics, 2023 A class of nearly Sasakian manifolds is considered in this paper. We discuss the geometric effects of some symmetries on such manifolds and show, under a certain condition, that the class of Ricci semi-symmetric nearly Sasakian manifolds is a subclass of
Fortuné Massamba, Arthur Nzunogera
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Tohoku Mathematical Journal, 2008 Let \(\pi: M\to B\) be a Riemannian orbifold submersion with totally geodesic leaves such that for any \(V\in T_x F\) (\(F\) is the leaf) and any \(X,Y\in T_x M\) it holds that \(R(X,Y)V=\langle Y,V\rangle X-\langle X,V\rangle Y\) for each \(x\in M\). Then \(M\) is said to be \(n\)-Sasakian, where \(n=\dim F\). This is a generalization of the notion of
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Prolonged almost quazi-Sasakian structures
Дифференциальная геометрия многообразий фигур, 2021 The notion of an almost quasi-Sasakian manifold is introduced. A manifold with an almost quasi-Sasakian structure is a generalization of a quasi-Sasakian manifold; the difference is that an almost quasi-Sasakian manifold is almost normal.
S.V. Galaev
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The GJMS operators in geometry, analysis and physics
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney +4 more
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η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
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Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi +3 more
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Reduction of Sasakian manifolds [PDF]
Journal of Mathematical Physics, 2001 We show that the contact reduction can be specialized to Sasakian manifolds. We prove that the Sasakian reduction is compatible with the Kähler reduction both in the cone construction and in the Boothby–Wang fibration. In particular, applying Futaki’s results, we obtain a sufficient condition for the reduced space of a regular Sasakian–Einstein ...
Grantcharov, Gueo, Ornea, Liviu
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