Results 31 to 40 of about 125 (105)
Results in Physics, 2021 Static spaces (with perfect fluids) appeared in a natural way both in physics (cf. Hawking and Ellis, 1975) and mathematics (cf. A. Fischer and J. Marsden, Duke Math. J. 42 (3) (1975), 519–547).
Ibrahim Al-Dayel +2 more
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On η-Einstein Trans-Sasakian Manifolds
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 On η-Einstein Trans-Sasakian ManifoldsA systematic study of η-Einstein trans-Sasakian manifold is performed. We find eight necessary and sufficient conditions for the structure vector field ζ of a trans-Sasakian manifold to be an eigenvector field of the Ricci operator. We show that for a 3-dimensional almost contact metric manifold (M,φ, ζ, η, g), the
Al-Solamy, Falleh R. +2 more
openaire +1 more source
Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]
Journal of HyperstructuresOur focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
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On Characterizing a Three-Dimensional Sphere
Mathematics, 2021 In this paper, we find a characterization of the 3-sphere using 3-dimensional compact and simply connected trans-Sasakian manifolds of type (α, β).
Nasser Bin Turki +2 more
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On an (ε,δ)-trans-Sasakian structure; pp. 20–28 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 In this paper we investigate (ε,δ)-trans-Sasakian manifolds which generalize the notion of (ε)-Sasakian and (ε)-Kenmotsu manifolds. We prove the existence of such a structure by an example and we consider Ï-recurrent, pseudo-projectively flat and ...
Halammanavar G. Nagaraja +2 more
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Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Danish Siddiqi +2 more
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Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection
Axioms, 2023 In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
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On Generalized ϕ‐Recurrent (ϵ, δ)‐Trans‐Sasakian Manifolds
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We study generalized ϕ‐recurrent (ϵ, δ)‐trans‐Sasakian manifolds. A relation between the associated 1‐forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ‐recurrent.
C. S. Bagewadi +3 more
wiley +1 more source
Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator
Mathematics, 2018 Let M be a three-dimensional trans-Sasakian manifold of type ( α , β ) . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an α -Sasakian manifold, cosymplectic manifold or a
Yan Zhao, Wenjie Wang, Ximin Liu
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Da‐Homothetic Deformation of K‐Contact Manifolds
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 We study Da‐homothetic deformations of K‐contact manifolds. We prove that Da‐homothetically deformed K‐contact manifold is a generalized Sasakian space form if it is conharmonically flat. Further, we find expressions for scalar curvature of Da‐homothetically deformed K‐contact manifolds.
H. G. Nagaraja +3 more
wiley +1 more source