B metric manifolds
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 … 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 …
B metric manifolds
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Web3. A semisymmetric metric connection on almost contact. B−. metric manifolds In this section we deal with a semisymmetric metric connection on an almost contact. B−. metric manifold. Let (M,φ,ξ,η,g) be an almost contact. B−. metric manifold with the Levi–Civita connection. ∇. g. and we define a semisymmetric connection. ∇. e on ... 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 …
WebMetric tensor. In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows defining distances and angles there. WebAlmost contact manifolds with B-metric Let (M, ϕ, ξ, η, g) be an almost contact manifold with B-metric or an almost contact B-metric manifold, i.e. M is a (2n + 1)-dimensional differ- entiable manifold with an almost contact structure (ϕ, ξ, η) consists of an endomorphism ϕ of the tangent bundle, a vector field ξ, its dual 1-form η 1 ...
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 ... 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
WebAug 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 …
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 … is bob\u0027s burgers still onWebThe standard Euclidean metric on Rn,namely, g = dx2 1 +···+dx2 n, makes Rn into a Riemannian manifold. Then, every submanifold, M,ofRn inherits a metric by restricting the Euclidean metric to M. For example, the sphere, Sn1,inheritsametricthat makes Sn1 into a Riemannian manifold. It is instructive to find the local expression of this metric is bob\u0027s burgers still making new episodesWebDec 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 … is bob\u0027s discount furniture goodWebAug 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 … is bob\\u0027s discount furniture goodWebJan 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 ... is bob\\u0027s discount furniture good qualityWebFeb 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 … is bob\u0027s discount furniture closingWeb33. 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 … is bob\u0027s discount furniture good quality