Results 31 to 40 of about 1,828 (149)
G2${\mathrm{G}}_2$‐instantons on the 7‐sphere
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3711-3745, December 2022., 2022 Abstract We study the deformation theory of G2${\mathrm{G}}_2$‐instantons on the round 7‐sphere, specifically those obtained from instantons on the 4‐sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15‐dimensional family of G2${\mathrm{G}}_2$‐instantons.
Alex Waldron
wiley +1 more source
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
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Locally ϕ-Symmetric Generalized Sasakian-Space Forms [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarkar, A., Sen, M.
openaire +2 more sources
Some New Results on Trans‐Sasakian Manifolds
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we classify trans‐Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans‐Sasakian manifolds whose Reeb vector fields are harmonic‐Killing. The above results bring some new characterizations for the property of trans‐Sasakian 3‐manifolds.
Lei Wang, Yan Zhao, Antonio Masiello
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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
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Biharmonic Curves in a Strict Walker 3‐Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this paper, we study the geometry of biharmonic curves in a strict Walker 3‐manifold and we obtain explicit parametric equations for biharmonic curves and time‐like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold.
Mamadou Gningue +3 more
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Some Eigenvalues Estimate for the ϕ-Laplace Operator on Slant Submanifolds of Sasakian Space Forms
Journal of Function Spaces, 2021 This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +4 more
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Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Axioms, 2022 In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li +3 more
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Sub‐Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We consider the sub‐Lorentzian geometry of curves and surfaces in the Lie group E(1, 1). Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E(1, 1) which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L.
Haiming Liu +2 more
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Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms
Journal of Inequalities and Applications, 2022 This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +3 more
doaj +1 more source