Results 41 to 50 of about 953,557 (132)
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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Geometry of Bi-Warped Product Submanifolds of Nearly Trans-Sasakian Manifolds
Mathematics, 2021 In the present work, we consider two types of bi-warped product submanifolds, M=MT×f1M⊥×f2Mϕ and M=Mϕ×f1MT×f2M⊥, in nearly trans-Sasakian manifolds and construct inequalities for the squared norm of the second fundamental form.
Ali H. Alkhaldi, Akram Ali
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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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Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
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Some Classes of Pseudosymmetric Contact Metric 3‐Manifolds
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 We study (a) the class of 3‐dimensional pseudosymmetric contact metric manifolds with harmonic curvature and Trl constant along the direction of ξ and (b) the class of (κ, μ, ν)‐contact metric pseudosymmetric 3‐manifolds of type constant in the direction of ξ.
Evaggelia Moutafi +2 more
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