Results 41 to 50 of about 996,485 (133)
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
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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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Kathmandu University Journal of Science, Engineering and Technology, 1970 In this paper we study the geometry of trans-Sasakian manifold when it is projective Ricci-semi-symmetric, pseudo-projectively flat and pseudo-projectively semi-symmetric.
openaire +2 more sources
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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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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η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Cubo, 2020 In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
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