Conformal vector field
WebDefinition. Specifically, a vector field X is a Killing field if the Lie derivative with respect to X of the metric g vanishes: =. In terms of the Levi-Civita connection, this is (,) + (,) =for all vectors Y and Z.In local coordinates, this amounts to the Killing equation + =. This condition is expressed in covariant form. Therefore, it is sufficient to establish it in a preferred … WebFeb 1, 2016 · The main of this article is to investigate quasi-Einstein manifolds endowed with a parallel vector field. Here, we obtain some characterizations for this class of manifolds under this condition. Moreover, we prove a rigidity result for quasi-Einstein manifolds endowed with a parallel vector field.
Conformal vector field
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WebApr 12, 2024 · PDF We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge theories in 2+1 and 3+1 dimensions. As a function of the... Find, read and cite all the research you ... WebJan 1, 2006 · A study of proper conformal vector field in non conformally flat cylindrically symmetric static space-times is given by using direct integration technique. Using the above mentioned technique we ...
WebNov 15, 2024 · We prove that a gradient Ricci soliton (M n, g) admitting a nonparallel closed conformal vector field must be locally conformally flat, provided that the dimension is 3 or 4. Moreover, in the dimension n ≥ 5, we show that a gradient Ricci soliton admitting a nonparallel closed conformal vector field must have harmonic Weyl tensor.In particular, … WebIs the Lie derivative of a conformal killing vector field along a parallel vector field still conformal Killing? 3. Killing vector fields are affine. 0. Potential function of divergence-free, concircular Vector fields. Hot Network Questions UK Refugee travel document (blue color) and visas for Netherlands and Germany
WebMar 31, 2016 · View Full Report Card. Fawn Creek Township is located in Kansas with a population of 1,618. Fawn Creek Township is in Montgomery County. Living in Fawn … WebFeb 28, 2024 · Conformal Killing Vector / Tensor > s.a. killing vectors / solutions of general relativity. $ Def: A generator of the conformal group, i.e., a vector field k such that ∇ a k b = φ g ab − F ab, with F ab = F [ab] the conformal bivector, and φ some non-singular function; This is equivalent to \(\cal L\) k g ab = 2φ g ab.
WebThe conformal trace anomalies for massless scalar, "neutrino," and photon fields propagating in an arbitrary Riemannian space-time are derived. They are seen to be a consequence of the subtraction, during renormalization, of a finite term, $\\ensuremath{\\sim}\\mathrm{ln}({m}^{2}{L}^{2})$, which violates the scale invariance of …
WebApr 9, 2024 · HIGHLIGHTS. who: Luis Herrera et al. from the Universitat Illes Balears, Palma Mallorca, Spain Instituto Universitario Fundamental y Matemu00e1ticas, Universidad Salamanca have published the Article: Non-Static Fluid Spheres Admitting a Conformal Killing Vector: Exact Solutions, in the Journal: Universe 2024, 8, 296. of /2024/ what: … esg for law firmsWebNov 4, 2014 · Proper conformal vector fields are those vector fields for which the conformal factor f is non-constant and similarly a proper homothetic vector field is … esg for housing associationsWebSeasonal Variation. Generally, the summers are pretty warm, the winters are mild, and the humidity is moderate. January is the coldest month, with average high temperatures … esg framework south africaWebFeb 1, 2013 · A conformal vector field V = v i ( x) ∂ / ∂ x i on M, is said to be Concurrent, if there is a constant K such that (6.2) ∇ j ρ i + K δ j i = 0, ∇ j ρ i = 0, where, ρ is the characteristic function defined by (5.3). By means of (6.2) and metric compatibility of Cartan covariant derivatives we have ∇ j ρ i = 0. esg for third party riskWebAug 21, 2016 · Finally, we give examples of non-Killing conformal vector fields and Yamabe solitons on non-unimodular Lorentzian Lie groups based on the above study. Discover the world's research 20+ million members esg free trainingWeb1 Answer. The conformal Killing vectors on Sn form the Lie algebra so(n + 1, 1) of a Lorentzian orthogonal group. The best way to see this is to identify Sn with the projectivized Light cone (i.e. the space of isotropic lines) in the Lorentzian vector space R ( n + 1, 1). If you realize this as points (x, t) with (x, t), (y, s) = ∑ixiyi − ... esg from a to z bank of americaWebEINSTEIN-YANG-MILLS FIELDS 5 In particular, any generalized Laplacian is elliptic. Proposition 2.3. [BGV03, Proposition 2.5] If L : C∞(E) → C∞(E) is a general- ized Laplacian as above then there exists a unique metric connection ∇ : C∞(E) → C∞(T∗M⊗ E) and a zero order operator R ∈ C∞(EndE), the Weitzenbo¨ck potential, such that L = ∇∗∇+R, where … esg framework survey