Results 1 to 10 of about 197 (44)
Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
Open Mathematics, 2023 The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin +4 more
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Biharmonic almost complex structures
Forum of Mathematics, Sigma, 2023 This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost Hermitian manifold and study its regularity and existence in dimension four.
Weiyong He
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
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Ricci ϕ-invariance on almost cosymplectic three-manifolds
Open Mathematics, 2023 Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
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Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators
Open Mathematics, 2020 In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
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A study on magnetic curves in trans-Sasakian manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic ...
Bozdağ Şerife Nur
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A basic inequality for submanifolds in a cosymplectic space form
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 539-547, 2003., 2003 For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main extrinsic invariant, namely, squared mean curvature on the other side.
Jeong-Sik Kim, Jaedong Choi
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Totally geodesic property of the unit tangent sphere bundle with g-natural metrics
Acta Universitatis Sapientiae: Mathematica, 2018 In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics and among all of these metrics, we specify those with respect to which the unit tangent sphere bundle with induced g-natural metric is totally geodesic ...
Peyghan Esmaeil, Firuzi Farshad
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Ricci solitons on almost Kenmotsu 3-manifolds
Open Mathematics, 2017 Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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Pseudo-slant submanifolds in cosymplectic space forms
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally ...
Dirik Süleyman, Atçeken Mehmet
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