Results 41 to 50 of about 1,519 (136)
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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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
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
, 2016 The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
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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
wiley +1 more source
QUASI-PARA-SASAKIAN MANIFOLD ADMITTING ZAMKOVOY CONNECTION [PDF]
, 2023 The purpose of the present study is to deduce some curvature properties of quasi-para-Sasakian manifold equipped with respect to Zamkovoy connection.
Mishra, Sandeep K. +3 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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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
wiley +1 more source
Geometry of Harmonic Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained. It is proved that the class of nearly trans-Sasakian manifolds with a closed contact form and a closed Lee form coincides with the class of almost contact metric manifolds
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