Results 31 to 40 of about 93,031 (274)

Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes

open access: yes, 2017
This paper intends to obtain concircular vector fields of Kantowski Sachs and Bianch type III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields are derived along with ...
Ali, Ahmad T   +2 more
core   +1 more source

Form Geometry and the 'tHooft-Plebanski Action [PDF]

open access: yes, 1995
Riemannian geometry in four dimensions, including Einstein's equations, can be described by means of a connection that annihilates a triad of two-forms (rather than a tetrad of vector fields).
Capovilla R   +12 more
core   +2 more sources

Null vectors in logarithmic conformal field theory [PDF]

open access: yesProceedings 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

On related vector fields of capillary surfaces

open access: yesInternational 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

open access: yesMathematics, 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

Boundary and bulk notions of transport in the AdS3/CFT2 correspondence

open access: yesJournal 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

Conformal derivative and conformal transports over spaces with contravariant and covariant affine connections and metrics

open access: yes, 2000
Transports preserving the angle between two contravariant vector fields but changing their lengths proportional to their own lengths are introduced as ''conformal'' transports and investigated over spaces with contravariant and covariant affine ...
Manoff S., S. MANOFF
core   +2 more sources

CONFORMALLY RECURRENT SPACE-TIMES ADMITTING A PROPER CONFORMAL VECTOR FIELD

open access: yesCommunications 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

Complex Surfaces and Null Conformal Killing Vector Fields

open access: yesThe Journal of Geometric Analysis, 2023
21 pages, minor ...
J. Davidov, G. Grantcharov, O. Mushkarov
openaire   +3 more sources

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

open access: yesJournal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly   +2 more
doaj   +1 more source

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