Results 31 to 40 of about 426,506 (223)

Local dynamics of conformal vector fields [PDF]

open access: yesGeometriae Dedicata, 2011
The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Riemannian type, and give a complete answer in the Riemannian case. This is done using geometric methods, and studying local dynamics of sequences of conformal transformations.
openaire   +3 more sources

Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton [PDF]

open access: yes, 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
core   +6 more sources

Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach

open access: yesJournal of High Energy Physics, 2019
We use conformal symmetry to constrain the shape of inflationary correlators in the presence of long-lived vector field perturbations. Applying conformal Ward identities, we derive general expressions, up to amplitudes and normalization factors, for the ...
Juan P. Beltrán Almeida   +2 more
doaj   +1 more source

Analytical solutions of spherical structures with relativistic corrections

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
This paper analyzes the characteristic of a non-static sphere along with anisotropic fluid distribution in the background of modified $$f(\mathcal {G})$$ f ( G ) theory.
M. Z. Bhatti   +3 more
doaj   +1 more source

Conformal vector fields on lcK manifolds

open access: yesMathematical 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

On Riemannian manifolds endowed with a locally conformal cosymplectic structure

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai   +2 more
doaj   +1 more source

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

open access: yesAxioms, 2022
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi   +3 more
doaj   +1 more source

On a class of even-dimensional manifolds structured by an affine connection

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We deal with a 2m-dimensional Riemannian manifold (M,g) structured by an affine connection and a vector field 𝒯, defining a 𝒯-parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector
I. Mihai, A. Oiagă, R. Rosca
doaj   +1 more source

Singular vectors in logarithmic conformal field theories [PDF]

open access: yesNuclear 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

On factorization and vector bundles of conformal blocks from vertex algebras [PDF]

open access: yesAnnales Scientifiques de l'Ecole Normale Supérieure, 2019
Modules over conformal vertex algebras give rise to sheaves of coinvariants and conformal blocks on moduli of stable pointed curves. Here we prove the factorization conjecture for these sheaves.
Chiara Damiolini   +2 more
semanticscholar   +1 more source

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