Results 41 to 50 of about 275 (150)
ρ‐Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
wiley +1 more source
On pseudo-slant submanifolds of a Sasakian space form [PDF]
, 2017 In this paper, we study the geometry of the pseudo-slant submanifolds of a Sasakian space form. Necessary and sufficient conditions are given for a submanifold to be pseudo-slant submanifolds, pseudo-slant product, mixed geodesic and totally ...
Süleyman Dirik +5 more
core +1 more source
A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
doaj +1 more source
Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb +2 more
wiley +1 more source
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form [PDF]
, 2016 summary:We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the ...
Abedi, Esmaeil +2 more
core +1 more source
On interpolating sesqui-harmonic Legendre curves in Sasakian space forms [PDF]
, 2020 We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the necessary and sufficient conditions for Legendre curves in Sasakian space forms to be interpolating sesqui-harmonic. Finally, we obtain a proper example for an
Özgür, Cihan +2 more
core +1 more source
Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, 2021 In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
doaj +1 more source
SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS
Taiwanese Journal of Mathematics, 2009 Plan Andaluz de Investigación (Junta de Andalucía)
Alegre, Pablo, Carriazo, Alfonso
openaire +4 more sources
W8 - Curvature Tensor in Generalized Sasakian Space Forms
Ratio Mathematica, 2023 The generalized Sasakian-space-forms and their properties have been examined by various researchers such as Alegre and Carriazo [2008], Prakasha [2012], Sarkar and Akbar [2014], Shanmukha et al.
Gyanvendra Pratap Singh +3 more
doaj +1 more source
Geometric Classification of Warped Products Isometrically Immersed into Conformal Sasakian Space Froms [PDF]
, 2022 Warped products play important roles in differential geometry, general relativity, and symmetry science. In this paper, we study the warped product pointwise semi-slant submanifolds that are isometrically immersed into conformal Sasakian space form.
Mehraj Ahmad Lone +4 more
core +1 more source