Results 21 to 30 of about 2,659 (265)
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
openaire +2 more sources
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
doaj +1 more source
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
openaire +3 more sources
Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
Advances in Mathematical Physics, 2016 This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds.
H. K. El-Sayied +2 more
doaj +1 more source
On related vector fields of capillary surfaces
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, some necessary and sufficient conditions are given for the related vector fields of capillary surfaces to be Killing, conformal Killing, and homothetic conformal Killing vectors in the n-dimensional domain Ω, and a construction of ...
Afet K. Özok
doaj +1 more source
On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
doaj +1 more source
Null vectors in logarithmic conformal field theory [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how ...
openaire +2 more sources
Boundary and bulk notions of transport in the AdS3/CFT2 correspondence
Journal of High Energy Physics, 2023 We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields.
Bowen Chen +4 more
doaj +1 more source
Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces
Journal of Mathematics, 2015 We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar +3 more
doaj +1 more source
CONFORMALLY RECURRENT SPACE-TIMES ADMITTING A PROPER CONFORMAL VECTOR FIELD
Communications of the Korean Mathematical Society, 2014 In this paper we study the properties of conformally recur- rent pseudo Riemannian manifolds admitting a proper conformal vector field with respect to the scalar field , focusing particularly on the 4- dimensional Lorentzian case. Some general properties already proven by one of the present authors for pseudo conformally symmetric manifolds endowed ...
De, Uday Chand, Mantica, Carlo Alberto
openaire +2 more sources