AFFINE KILLING REEB VECTOR FIELD FOR A REAL HYPERSURFACE IN THE COMPLEX QUADRIC [PDF]
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
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Weakly charged generalized Kerr–NUT–(A)dS spacetimes
Physics 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
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On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Дифференциальная 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
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On the Lie subalgebra of Killing-Milne and Killing-Cartan vector fields in Newtonian space-time [PDF]
, 2014 The Galilean (and more generally Milne) invariance of Newtonian theory allows for Killing vector fields of a general kind, whereby the Lie derivative of a field is not required to vanish but only to be cancellable by some infinitesimal Galilean ...
Chamel, Nicolas
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Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field [PDF]
, 2011 We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subgroups of the isometry group, we prove the existence of one timelike non ...
JAVALOYES, Miguel Angel +5 more
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A New Class of Contact Pseudo Framed Manifolds with Applications
International 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
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2-Killing vector fields on warped product manifolds [PDF]
, 2015 This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times.
Sameh Shenawy +3 more
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Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran 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
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Light-cone quantization of scalar field on time-dependent backgrounds
European 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
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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