Results 31 to 40 of about 1,301 (144)
A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj +1 more source
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2005 Summary: The object of this paper is to study a type of Kenmotsu manifold called Kenmotsu \((GR)_n\)-manifold and Kenmotsu \(G(PRS)_n\) manifold \((n>2)\). The \(W_4\)-curvature tensor on Kenmotsu manifolds is also studied.
Prasad, B., Verma, R. K.
openaire +3 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
wiley +1 more source
Journal of the Korean Mathematical Society, 2005 Let \((M^n,\phi,\xi,\eta,g)\) be an \(n=2m+1\)-dimensional almost contact Riemannian manifold. If \((\nabla_X\phi)Y=-g(X,\phi Y)\xi-\eta(Y)\phi X\) and \(\nabla_X\xi=X-\eta(X)\xi\) then \((M^n,\phi,\xi,\eta,g)\) is called a Kenmotsu manifold. In the reviewed paper, the authors show that curvature conditions such as Ricci semisymmetry or Ricci ...
Jun, Jae-Bok +2 more
openaire +3 more sources
On a Classification of Almost C(α)‐Manifolds
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, pseudosymmetric and Ricci pseudosymmetric almost C(α)‐manifold are studied. For an almost C(α)‐manifold, Riemann pseudosymmetric, Riemann Ricci pseudosymmetric, Ricci pseudosymmetric, projective pseudosymmetric, projective Ricci pseudosymmetric, concircular pseudosymmetric, and concircular Ricci pseudosymmetric cases are considered and ...
Tuğba Mert, Serkan Araci
wiley +1 more source
On the Existence of Proper Nearly Kenmotsu Manifolds [PDF]
Mediterranean Journal of Mathematics, 2016 This is an expository paper, which provides a first approach to nearly Kenmotsu manifolds. The purpose of this paper is to focus on nearly Kenmotsu manifolds and get some new results from it. We prove that for a nearly Kenmotsu manifold is locally isometric to warped product of real line and nearly Kähler manifold. Finally, we prove that there exist no
Murathan, CENGİZHAN +2 more
openaire +3 more sources
Almost $$\eta $$-Ricci solitons on Kenmotsu manifolds [PDF]
European Journal of Mathematics, 2021 In this paper we characterize the Einstein metrics in such broader classes of metrics as almost $η$-Ricci solitons and $η$-Ricci solitons on Kenmotsu manifolds, and generalize some results of other authors. First, we prove that a Kenmotsu metric as an $η$-Ricci soliton is Einstein metric if either it is $η$-Einstein or the potential vector field $V$ is
Dhriti Sundar Patra, Vladimir Rovenski
openaire +2 more sources
∗‐Ricci Tensor on α‐Cosymplectic Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study α‐cosymplectic manifold M admitting ∗‐Ricci tensor. First, it is shown that a ∗‐Ricci semisymmetric manifold M is ∗‐Ricci flat and a ϕ‐conformally flat manifold M is an η‐Einstein manifold. Furthermore, the ∗‐Weyl curvature tensor W∗ on M has been considered.
M. R. Amruthalakshmi +4 more
wiley +1 more source
Magnetic and slant curves in Kenmotsu manifolds [PDF]
Surveys in Mathematics and its Applications, 2020 Motivated by the recent studies of the magnetic curves in quasi-Sasakian, Sasakian, and Cosymplectic manifolds, in this article we investigate the magnetic trajectories with respect to contact magnetic fields in Kenmotsu manifolds. Moreover, we study the
Pradeep Kumar Pandey, Sameer Mohammad
doaj
On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds
Mathematics, 2019 In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds.
Nülifer Özdemir +2 more
doaj +1 more source