Results 61 to 70 of about 85,733 (177)

Generalizations of Killing vector fields in sol space [PDF]

Filomat, 2019
We consider two generalizations of the Killing vector fields in the 3D Sol space. Conformal Killing vector fields are the first generalization, 2-Killing vector fields are the second. We characterize proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.
openaire   +5 more sources

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type

Journal of Mathematics
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami   +2 more
doaj   +1 more source

On a Relation Between Twistors and Killing Spinors

Cumhuriyet Science Journal, 2018
Inspiring from the consequence of constructingconformal Killing-Yano forms out of Killing-Yano forms and closed conformalKilling-Yano forms, this work includes a method for building up twistors fromKilling spinors which can be analogously interpreted as ...
Özgür Açık
doaj   +1 more source

Palatini Formalism of 5-Dimensional Kaluza-Klein Theory

, 2005
The Einstein field equations can be derived in $n$ dimensions ($n>2$) by the variations of the Palatini action. The Killing reduction of 5-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are preserved by the ...
de Vega H. J., JIANBING SHAO, Krauss L., Kremer G. N., Liang C., MUXIN HAN, Polchinski J., Romano D., Vollick D. N., Yang X., YONGGE MA, YOU DING   +11 more
core   +1 more source

On the structure vector field of a real hypersurface in complex quadric

Open Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

Gauge Theories on Sphere and Killing Vectors

, 2003
We provide a general method for studying manifestly $O(n+1)$ covariant formulation of $p$-form gauge theories by stereographically projecting these theories, defined in flat Euclidean space, onto the surface of a hypersphere.
Adler, Alexanian, Belavin, Carow-Watamura, Cremmer, Di Francesco, Drummond, Drummond, Freedman, Iso, Jackiw, Kalb, Lu, Nielsen, O’Donnell, Rabin Banerjee, Shore, Thurston   +17 more
core   +3 more sources

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

Mathematics
In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen, Foued Aloui, Afshan Perween, Majid Ali Choudhary   +3 more
doaj   +1 more source

Black hole solutions in the quadratic Weyl conformal geometric theory of gravity

European Physical Journal C: Particles and Fields, 2022
We consider numerical black hole solutions in the Weyl conformal geometry and its associated conformally invariant Weyl quadratic gravity. In this model, Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken ...
Jin-Zhao Yang, Shahab Shahidi, Tiberiu Harko   +2 more
doaj   +1 more source

Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities

Journal of High Energy Physics, 2018
Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell supersymmetrization ...
Federico Bonetti, Dietmar Klemm, Wafic A. Sabra, Peter Sloane   +3 more
doaj   +1 more source

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

Journal 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, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +1 more source