Results 1 to 10 of about 8,378,483 (177)

Killing and 2-Killing Vector Fields on Doubly Warped Products

Mathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +5 more sources

Harmonic-Killing Vector Fields

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002
The authors introduce the notion of 1-harmonic-Killing (1-h-K) vector fields, i.e., vector fields whose corresponding 1-parameter group of local transformations consists of maps which have vanishing linear part of their tension field. It is shown that a vector field is a Jacobi field along the identity map if and only if it is a 1-h-K vector field ...
Dodson, C. T. J., Trinidad Pérez, M., Vázquez-Abal, M. E.   +2 more
exaly   +11 more sources

Zermelo Deformation of Finsler Metrics by Killing Vector Fields

Electronic Research Announcements in Mathematical Sciences, 2018
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.
Vladimir S. Matveev
exaly   +6 more sources

Primordial Magnetogenesis from Killing Vector Fields

Universe
Papapetrou showed that the covariant derivative of a Killing vector field satisfies Maxwell’s equations in vacuum. Papapetrou’s result is extended, in this article, and it is shown that the covariant derivative of a Killing vector field satisfies Maxwell’
Nagabhushana Prabhu
doaj   +4 more sources

Killing spinors are killing vector fields in Riemannian supergeometry [PDF]

Journal of Geometry and Physics, 1998
14 pages, latex, one typo ...
Alekseevsky, D., Cortés, V., Devchand, C., Semmelmann, U.   +3 more
openaire   +6 more sources

On Killing Vector Fields on Riemannian Manifolds [PDF]

Mathematics, 2021
We study the influence of a unit Killing vector field on geometry of Riemannian manifolds. For given a unit Killing vector field w on a connected Riemannian manifold (M,g) we show that for each non-constant smooth function f∈C∞(M) there exists a non-zero vector field wf associated with f.
Olga Olegovna Belova, Sharief Deshmukh
exaly   +3 more sources

Killing Vector Fields on Complete Riemannian Manifolds [PDF]

Proceedings of the American Mathematical Society, 1982
We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
exaly   +3 more sources

A Note on Killing Calculus on Riemannian Manifolds

Mathematics, 2021
In this article, it has been observed that a unit Killing vector field ξ on an n-dimensional Riemannian manifold (M,g), influences its algebra of smooth functions C∞(M).
Sharief Deshmukh, Amira Ishan, Suha B. Al-Shaikh, Cihan Özgür   +3 more
doaj   +1 more source

Generalized Minkowski Type Integral Formulas for Compact Hypersurfaces in Pseudo-Riemannian Manifolds

Mathematics, 2023
We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
doaj   +1 more source

On the Geometry of the Orbits of Killing Vector Fields

, 2023
6 ...
Narmanov, A. Ya., Aslonov, J. O.
openaire   +2 more sources