Results 21 to 30 of about 93,031 (274)
Conformal vector fields on statistical manifolds
Revista de la Unión Matemática Argentina, 2022 This paper introduces the notion of conformal vector field on a statistical manifold. A statistical manifold is a triple \((M,g,T)\), where \(g\) is a Riemannian metric tensor on the smooth manifold \(M\), and \(T\) is a covariant tensor of order 3 which is fully symmetric. An equivalent definition can be given replacing \(T\) with an affine connection
Samereh, Leila, Peyghan, Esmaeil
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Some Results of Ricci Bi-Conformal Vector Fields [PDF]
Mathematics Interdisciplinary ResearchThe investigation of Ricci bi-conformal vector fields and their associated outcomes is crucial for gaining insights into the geometric and topological characteristics of the underlying manifolds.
Mahin Sohrabpour, Shahroud Azami
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Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton [PDF]
, 1998 The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatment of total derivatives, hermiticity of the system operator and ...
Antoniadis +42 more
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Mathematics, 2023 We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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Partition functions of higher derivative conformal fields on conformally related spaces
Journal of High Energy Physics, 2021 The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
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Conformal vector fields on lcK manifolds
Mathematical Research Letters, 2023 We show that any conformal vector field on a compact lcK manifold is Killing with respect to the Gauduchon metric. Furthermore, we prove that any conformal vector field on a compact lcK manifold whose Kähler cover is neither flat, nor hyperkähler, is holomorphic.
Moroianu, Andrei, Pilca, Mihaela
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Ricci Bi-Conformal Vector Fields on Siklos Spacetimes [PDF]
Mathematics Interdisciplinary ResearchRicci bi-conformal vector fields have find their place in geometry as well as in physical applications. In this paper, we consider the Siklos spacetimes and we determine all the Ricci bi-conformal vector fields on these spaces.
Shahroud Azami +1 more
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Singular vectors in logarithmic conformal field theories [PDF]
Nuclear Physics B, 1998 Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism with the particular advantage that the stress energy tensor acting on Jordan cells of primary fields and their logarithmic partners can still be represented
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Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold
Mathematics, 2021 We study the effect of a nontrivial conformal vector field on the geometry of compact Riemannian spaces. We find two new characterizations of the m-dimensional sphere Sm(c) of constant curvature c.
Amira Ishan +2 more
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