Results 51 to 60 of about 85,217 (188)
Clifford-Wolf Translations of Finsler spaces [PDF]
In this paper, we study Clifford-Wolf translations of Finsler spaces. We first give a characterization of Clifford-Wolf translations of Finsler spaces in terms of Killing vector fields.
Deng, Shaoqiang, Xu, Ming
core
Jacobi fields and the stability of minimal foliations of arbitrary codimension
In this article, we investigate the stability of leaves of minimal foliations of arbitrary codimension. We also study relations between Jacobi fields and vector fields which preserves a foliation and we use these results to Killing ...
Andrzejewski, Krzysztof
core +1 more source
Killing Vector Fields of Generic Semi-Riemannian Metrics
Let M be a smooth oriented connected n-dimensional manifold and let M be the space of pseudo-Riemannian metrics on M of a given signature (n+,n−),n++n−=n>1. A system of n metric invariants is attached to each metric in M, called the Ricci invariants, and by using the geometric properties of such invariants, the following result is proved: The subset O ...
Rosado María, María Eugenia +2 more
openaire +3 more sources
On a Relation Between Twistors and Killing Spinors
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
Gauge Theories in Noncommutative Homogeneous K\"ahler Manifolds
We construct a gauge theory on a noncommutative homogeneous K\"ahler manifold, where we employ the deformation quantization with separation of variables for K\"ahler manifolds formulated by Karabegov.
Akifumi Sako +6 more
core +1 more source
Generalizations of Killing vector fields in sol space [PDF]
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
On the structure vector field of a real hypersurface in complex quadric
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
On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity
We address the problem of finding non-static plane symmetric perfect fluid solutions in the f(R,T)theory of gravity, where R and T respectively are the Ricci scalar and trace of the energy momentum tensor.
Abu Bakr Mehmood +5 more
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type
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 +2 more
doaj +1 more source
Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
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
doaj +1 more source

