Results 1 to 10 of about 85,197 (168)

Killing spinors are Killing vector fields in Riemannian Supergeometry [PDF]

Journal of Geometry and Physics, 1997
A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M_0,g_0). Extending the metric g_0 to a field g of bilinear forms g(p) on T_p M, p\in M_0, the pseudo Riemannian supergeometry of (M,g) is formulated as G-structure on M,
Alekseevsky, Batchelor, Berezin, C. Devchand, D.V. Alekseevsky, Kostant, Leites, Manin, Shnider, U. Semmelmann, V. Cortés   +10 more
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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
Sharief Deshmukh, Olga Belova
doaj   +2 more sources

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   +2 more sources

Killing vector fields of locally rotationally symmetric Bianchi type V spacetime [PDF]

Scientific Reports
The classification of locally rotationally symmetric Bianchi type V spacetime based on its killing vector fields is presented in this paper using an algebraic method.
Shakeel Ahmad, Tahir Hussain, Abdul Baseer Saqib, Muhammad Farhan, Muhammad Farooq   +4 more
doaj   +2 more sources

Killing vector fields with twistor derivative

Journal of Differential Geometry, 2007
Motivated by the possible characterization of Sasakian manifolds in terms of twistor forms, we give the complete classification of compact Riemannian manifolds carrying a Killing vector field whose covariant derivative (viewed as a 2-form) is a twistor ...
Moroianu, Andrei
core   +7 more sources

Unit Killing Vector Fields on Nearly Kahler Manifolds [PDF]

International Journal of Mathematics, 2004
We study 6-dimensional nearly Kahler manifolds admitting a Killing vector field of unit length. In the compact case it is shown that up to a finite cover there is only one geometry possible, that of the 3--symmetric space $S^3 \times S^3$
ANDREI MOROIANU, Baum H., Cleyton R., Friedrich Th., Galicki K., Kirichenko V. F., PAUL-ANDI NAGY, UWE SEMMELMANN   +7 more
core   +7 more sources

Zermelo deformation of Finsler metrics by Killing vector fields [PDF]

Electronic Research Announcements, 2017
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.
Foulon, Patrick, Matveev, Vladimir S.
core   +7 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   +2 more sources

Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]

Heliyon
This paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman, Aydin Gezer, Mohammad Nazrul Islam Khan, Sedanur Ucan   +3 more
doaj   +2 more sources

Geometry of foliations of Minkowski spaces [PDF]

E3S Web of Conferences, 2023
As is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view.
Artykbaev A., Narmanov A. Ya., Ismoilov Sh. Sh.   +2 more
doaj   +1 more source