Results 41 to 50 of about 8,378,483 (177)
A Geometric characterization of Finsler manifolds of constant curvature K=1
International Journal of Mathematics and Mathematical Sciences, 2000 We prove that a Finsler manifold 𝔽m is of constant curvature K=1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of 𝔽m.
A. Bejancu, H. R. Farran
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On compact pseudo-Riemannian manifolds admitting Killing vector fields [PDF]
AUT Journal of Mathematics and ComputingWe prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold $M$ and existence of Killing vector ...
Reza Mirzaie
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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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On Killing vector fields and Newman–Penrose constants [PDF]
Journal of Mathematical Physics, 2000 Asymptotically flat space–times with one Killing vector field are studied. The Killing equations are solved asymptotically using polyhomogeneous expansions (i.e., series in powers of 1/r and ln r), and solved order by order. The solution to the leading terms of these expansions yields the asymptotic form of the Killing vector field.
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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 +2 more
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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
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Connecting and Closed Geodesics of a Kropina Metric
Advanced Nonlinear Studies, 2021 We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem ...
Caponio Erasmo +3 more
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Structure of Lorentzian tori with a killing vector field [PDF]
Transactions of the American Mathematical Society, 1997 All Lorentzian tori with a non-discrete group of isometries are characterized and explicitly obtained. They can lie into three cases: (a) flat, (b) conformally flat but non-flat, and (c) geodesically incomplete. A detailed study of many of their properties (including results on the logical dependence of the three kinds of causal completeness, on ...
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Nil-Killing vector fields and Kundt structures [PDF]
, 2020 This thesis is based on three papers, for which two have been submitted for publication and one is published. A chapter presenting relevant background material is included giving convenient access to preliminary foreknowledge for the papers. The research
Aadne, Matthew Terje
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Almost Conformal Vector Fields on a Riemannian Manifold
MathematicsWe introduce the notion of an almost conformal vector field, which generalizes conformal vector fields and recently introduced m-modified conformal vector fields on a Riemannian manifold.
Sharief Deshmukh, Hana Al-Sodais
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