B metric manifolds

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August undefined, 2024

WebAug 5, 2024 · For a given almost contact Norden metric structure on a smooth manifold $ M $, one can obtain an almost complex Norden metric structure on $ M\times\mathbb{R} $. In this work, we study this construction in details and give the relations between the classes of these structures. Furthermore, we give examples of almost … WebDec 20, 2024 · Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered. In these cases, it is proved that the manifold admits a Ricci-like soliton if and only if the structure is Einstein-like. Explicit examples of …

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WebA Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this manner, manifolds are obtained ... WebApr 13, 2024 · where $\text {Ric}_g$ denotes the Ricci tensor of g and g runs over all smooth Riemannian metrics on M.They found some topological conditions to ensure that a volume-noncollapsed almost Ricci-flat manifold admits a Ricci-flat metric. By the Cheeger–Gromoll splitting theorem [], any smooth closed Ricci-flat manifold must be … teba offices johannesburg

Ricci-like solitons on almost contact B-metric manifolds

WebThese manifolds are anodized for a black finish. 316 stainless steel manifolds have excellent corrosion resistance and can handle fuel, gasoline, coolant and other harsh … Webshow that a 3-dimensional contact metric manifold on which Qφ—φQ is either Sasakian, flat or of constant ξ-sectional curvature k and constant ^-sectional curvature —k. Finally we give some auxiliary results on locally ^-symmetric contact metric 3-manifolds and on contact metric 3-manifolds immersed in a 4-dimensional manifold of contant ... WebThere are considered 5-dimensional almost contact B-metric manifolds of two basic classes. It is proved that every manifold from the section of these classes is with pointwise constant sectional curvatures. It is studied the curvature tensor of the manifolds of these two classes and some their curvature characteristics are given. Mathematics ... teba pharmacy brooklyn ny

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[PDF] Curvature Properties of Almost Ricci-Like Solitons with …

WebFeb 4, 2024 · A Yamabe soliton is defined on arbitrary almost contact Bmetric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this way, manifolds from one of … Web2. Almost Contact B-Metric Manifolds, Contact Conformal Transformations, and Yamabe Solitons Let (M, j,x,h, g) be an almost contact manifold with B-metric or an almost contact B-metric manifold, i.e., M is a (2n +1)-dimensional differentiable pseudo-Riemannian manifold with metric g of signature (n +1,n), endowed with an almost contact structure spa north west ukWebDec 20, 2024 · Abstract: Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds … spanos family feud

"WebDec 20, 2024 · An almost c ontact B-metric manifold (M, ϕ, ξ, η , g) is c al led a Ricci-like solito n with potential vecto r ﬁeld ξ if its Ricci tensor ρ satisﬁes the fol lowing condition for a triplet ... " - B metric manifolds

B metric manifolds

Webmost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections. By means of the constructed non-symmetric connections, the … Web33. 1994. A classification of the torsion tensors on almost contact manifolds with B-metric. M Manev, M Ivanova. Central European Journal of Mathematics (Open Mathematics) 12 …

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WebThe metric-affine geometry, founded by E. Cartan, generalizes Riemannian geometry: it uses a metric g and a linear connection ∇ ¯ instead of the Levi-Civita connection ∇ (of …

WebFeb 9, 2016 · In this paper we study slant null curves with respect to the original parameter on 3-dimensional normal almost contact B-metric manifolds with parallel Reeb vector … WebDec 18, 2014 · We consider quasi-Einstein metrics in the framework of contact metric manifolds and prove some rigidity results. First, we show that any quasi-Einstein Sasakian metric is Einstein. Next, we prove that any complete K -contact manifold with quasi-Einstein metric is compact Einstein and Sasakian. To this end, we extend these results …

WebOn 5-dimensional almost contact B-metric manifolds, the form of any K\"ahler-type tensor (i.e. a tensor satisfying the properties of the curvature tensor of the Levi-Civita connection in the special class of the parallel structures on the manifold) is determined. The associated 1-forms are derived by the scalar curvatures of the K\" ... WebPGI Manifolds - Parker Hannifin

WebAug 19, 2024 · Ricci-like solitons on Sasaki-like almost contact B-metric manifolds are the object of study. Cases, where the potential of the Ricci-like soliton is the Reeb vector field or pointwise collinear to it, are considered. In the former case, the properties for a parallel or recurrent Ricci-tensor are studied. In the latter case, it is shown that the potential of the …

WebJul 4, 2014 · We would like to consider an almost Ricci soliton ( M, g, X, \lambda ) such that g is a K -contact metric and X is a contact vector field. Let us recall that a vector field X on a contact manifold is said to be a contact vector field if. \begin {aligned} \pounds _X \eta = f \eta , \end {aligned} (17) teba pharmacy brooklynWebFeb 20, 2024 · A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this manner, manifolds are … te baptistry\u0027sWebAug 1, 2024 · Almost contact B-metric manifolds. Let us consider an almost contact B-metric manifold denoted by (M, φ, ξ, η, g). This means that M is a (2 n + 1)-dimensional … spanos net worthWebJan 1, 1993 · An example of an F 5 -manifold as an isotropic hypersurface with respect to the associated B-metric in an evendimensional real space is given in [8] and it is noted that the class F 5 is analogous ... spanos family businessWebJun 12, 2024 · A generalization of $\\eta$-Ricci solitons is considered involving an additional metric and functions as soliton coefficients. The soliton potential is torse-forming and orthogonal to the contact distribution of the almost contact B-metric manifold. Then such a manifold can also be considered as an almost Einstein-like manifold, a generalization … spanos daytona beach floridaWebMar 30, 2024 · We prove that a Kähler B-metric manifold is of constant totally real sectional curvatures if and only if it is a holomorphic Einstein, Bochner flat manifold. We also find the necessary and sufficient conditions for a gradient Ricci soliton or a holomorphic η-Einstein Kähler B-metric manifold to be Bochner flat. In this context, the manifolds ... spanos family treeWebFeb 20, 2024 · A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector … teb arf