B metric manifolds
WebThe 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 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 …
B metric manifolds
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WebJan 12, 2024 · for some 1-form \(\theta \).A Riemannian manifold endowed with such a structure is known as Weyl manifold. Since D is not a metric connection, the Ricci tensor associated with the Weyl connection D is not usually symmetric. Thus, to define an Einstein type equation on Weyl manifold one needs to consider the symmetrized Ricci tensor of … 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 ...
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 ... WebNov 20, 2024 · A new class of 3-dimensional contact metric manifolds is found. Moreover it is proved that there are no such manifolds in dimensions greater than 3. Keywords. 53C25 53C15 contact metric manifolds generalized (κ, μ)-contact metric manifolds. Type Research Article. Information
WebJan 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 ... WebJun 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 …
WebMar 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 ...
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 … psychology in clayton ncWebJan 1, 1993 · We consider almost contact B-metric manifolds denoted by (M, ϕ, ξ, η, ). This means that any M is a (2n + 1)-dimensional smooth manifold equipped with an … hosted a eventWeb3. 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 ... hosted a partyWeb33. 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 … hosted a summer olympicsWebAug 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 … psychology in cmuWebProposition 9.3.2 If M is a Riemannian manifold with metric g, then Mis a metric space with the distance function ddefined above. The metric topology agrees with the manifold topology. Proof. The symmetry of the distance function is immediate, as is its non-negativity. The triangle inequality is also easily established: For any curves γ 1:[a ... psychology in colombiaWebFeb 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 … hosted a streetware/vintage pop up shop