Results 31 to 40 of about 8,378,483 (177)

Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]

open access: yesMathematica Bohemica, 2016
We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing.
Amalendu Ghosh
doaj   +1 more source

Weakly charged generalized Kerr–NUT–(A)dS spacetimes

open access: yesPhysics Letters B, 2017
We find an explicit solution of the source free Maxwell equations in a generalized Kerr–NUT–(A)dS spacetime in all dimensions. This solution is obtained as a linear combination of the closed conformal Killing–Yano tensor hab, which is present in such a ...
Valeri P. Frolov   +2 more
doaj   +1 more source

On the existence of Killing vector fields [PDF]

open access: yesClassical and Quantum Gravity, 1999
9 pages, no figure, to appear in Class.
openaire   +3 more sources

AFFINE KILLING REEB VECTOR FIELD FOR A REAL HYPERSURFACE IN THE COMPLEX QUADRIC [PDF]

open access: yes
In this paper, first we introduce a general notion of affine Killing vector fields on the complex quadric Q^m, which is weaker than usual Killing vector field.
Kim, Gyu Jong   +2 more
core   +2 more sources

On the Tachibana numbers of closed manifolds with pinched negative sectional curvature

open access: yesДифференциальная геометрия многообразий фигур, 2020
Conformal Killing form is a natural generalization of con­formal Killing vector field. These forms were exten­si­vely studied by many geometricians. These considerations we­re motivated by existence of various applications for the­se forms.
S.E. Stepanov, I. I. Tsyganok
doaj   +1 more source

A New Class of Contact Pseudo Framed Manifolds with Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
doaj   +1 more source

Deformations of Quantum Field Theories on Spacetimes with Killing Vector Fields [PDF]

open access: yesCommunications in Mathematical Physics, 2011
35 pages, 3 ...
DAPPIAGGI, CLAUDIO   +2 more
openaire   +3 more sources

Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds

open access: yesAxioms
We study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity

open access: yesMehran University Research Journal of Engineering and Technology, 2020
conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan   +2 more
doaj   +1 more source

Light-cone quantization of scalar field on time-dependent backgrounds

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second ...
Andrea Arduino, Igor Pesando
doaj   +1 more source

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