Results 41 to 50 of about 1,514 (132)
Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans‐Sasakian structure of type (α, β), subject to the condition that the structure vector field of M- is tangent to M. First we study the general theory for lightlike hypersurfaces of indefinite trans‐Sasakian manifold of type (α, β ...
Dae Ho Jin, Dimitris Fotakis
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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 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
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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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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
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Certain Results on Ricci Solitons in α‐Sasakian Manifolds
Geometry, Volume 2013, Issue 1, 2013., 2013 We study Ricci solitons in α‐Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3‐dimensional α‐Sasakian manifolds is shrinking or expanding but cannot be steady.
S. R. Ashoka +3 more
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On the geometry of nearly trans-Sasakian manifolds
Turkish Journal of Mathematics, 2023 Given an almost contact metric manifold \(M\) one obtains an almost complex structure on \(M\times \mathbb{R}\). If equipped with the product metric the manifold is called its linear extension (as opposed to the conformally equivalent cone construction).
Rustanov, Aligadzhi R. +2 more
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CR‐Submanifolds of Generalized f.p.k.‐Space Forms
Geometry, Volume 2013, Issue 1, 2013., 2013 We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized f.p.k.‐space forms. Then we give an upper bound for foliate ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form and an upper bound for minimal ξα‐horizontal (and vertical) CR‐submanifold of a generalized f.p.k.‐space form. Finally,
Mahmood Jaafari Matehkolaee +1 more
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On pseudo-slant submanifolds of nearly trans-Sasakian manifolds [PDF]
, 2014 This paper consist the study of pseudo-slant submanifolds of nearly trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out. Some interesting results regarding such manifolds have also been deduced. An
Srivastava, Vibha, Prasad, Rajendra
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A remark on trans-Sasakian 3-manifolds [PDF]
Revista de la Unión Matemática Argentina, 2019 Summary: Let \(M\) be a trans-Sasakian 3-manifold of type \((\alpha, \beta)\). In this paper, we give a negative answer to the question proposed by \textit{S. Deshmukh} [Mediterr. J. Math. 13, No. 5, 2951--2958 (2016; Zbl 1359.53022)], namely we prove that the differential equation \(\nabla \beta = \eta(\beta)\eta\) on \(M\) does not necessarily imply ...
Wang, Yaning, Wang, Wenjie
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