Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type
Journal of MathematicsThis 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 +2 more
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On Finsler spacetimes with a timelike Killing vector field
, 2018 We study Finsler spacetimes and Killing vector fields taking care of the fact that the generalised metric tensor associated to the Lorentz–Finsler function L is in general well defined only on a subset of the slit tangent bundle.
Erasmo Caponio +3 more
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Comptes Rendus. MathématiqueEvery Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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On the Lie subalgebra of Killing-Milne and Killing-Cartan vector fields in Newtonian space-time
, 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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A Note on Incompressible Vector Fields
, 2023 In this paper, we use incompressible vector fields for characterizing Killing vector fields. We show that on a compact Riemannian manifold, a nontrivial incompressible vector field has a certain lower bound on the integral of the Ricci curvature in the ...
Nasser Bin Turki
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Projective Vector Fields on Semi-Riemannian Manifolds
MathematicsThis paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
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The geodesic completeness of compact Lorentzian manifolds admitting a timelike Killing vector field revisited: two new proofs [PDF]
, 2018 Compact Lorentzian manifolds admitting a timelike Killing vector field are shown to be complete by means of two different proofs to the original one.Spanish MINECO and ERDF project MTM2014-52232-
Fuente Benito, Daniel de la
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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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CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group.
Indranil Biswas +2 more
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Symmetries of supergravity backgrounds and supersymmetric field theory
Journal of High Energy Physics, 2020 In four spacetime dimensions, all N $$ \mathcal{N} $$ = 1 supergravity-matter systems can be formulated in the so-called U(1) superspace proposed by Howe in 1981.
Sergei M. Kuzenko +1 more
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