Results 11 to 20 of about 129,718 (286)

On Jacobi-Type Vector Fields on Riemannian Manifolds

Mathematics, 2019
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen, Sharief Deshmukh, Amira A. Ishan   +2 more
doaj   +1 more source

UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS [PDF]

International Journal of Mathematics, 2005
We study 6-dimensional nearly Kähler 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 S3 × S3.
Moroianu, Andrei, Nagy, Paul-Andi, Semmelmann, Uwe   +2 more
openaire   +4 more sources

Geometry of Ricci solitons admitting a new geometric vector field [PDF]

AUT Journal of Mathematics and Computing
In the present paper, we introduce a new geometric vector field (it will be called semi-Killing field) on semi-Riemannaian manifolds. A complete classification of semi-Killing vector fields on 3-dimensional Walker manifolds will be derived.
Farzaneh Shamkhali, Ghodratallah Fasihi Ramandi, Shahroud Azami   +2 more
doaj   +1 more source

Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations [PDF]

, 2010
Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector field then the Ricci tensor of the geometry is ...
Aliev A N, Anninos D, Ayon-Beato E, Barrow J D, Bergshoeff E Hohm O Townsend P K, Carlip S, Carot J, Chow D D K, Chow D D K, Clement G, Clement G, Clement G, Deser S, Deser S, Deser S, Eisenhart L P, Fels M E, Gleiser R J, Gürses M, Gürses M, Gürses M, Metin Gürses, Moussa K A, Nutku Y, Song W Ki   +24 more
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Reeb vector field of almost contact metric structure as affine motion

Дифференциальная геометрия многообразий фигур, 2022
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj   +1 more source

Isometries and the double copy

Journal of High Energy Physics, 2023
In the standard derivation of the Kerr-Schild double copy, the geodicity of the Kerr-Schild vector and the stationarity of the spacetime are presented as assumptions that are necessary for the single copy to satisfy Maxwell’s equations.
Damien A. Easson, Gabriel Herczeg, Tucker Manton, Max Pezzelle   +3 more
doaj   +1 more source

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
openaire   +4 more sources

Symmetries of N $$ \mathcal{N} $$ = (1, 0) supergravity backgrounds in six dimensions

Journal of High Energy Physics, 2021
General N $$ \mathcal{N} $$ = (1, 0) supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) SU(2) superspace; and (ii) conformal superspace.
Sergei M. Kuzenko, Ulf Lindström, Emmanouil S. N. Raptakis, Gabriele Tartaglino-Mazzucchelli   +3 more
doaj   +1 more source

On an Anti-Torqued Vector Field on Riemannian Manifolds

Mathematics, 2021
A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh, Ibrahim Al-Dayel, Devaraja Mallesha Naik   +2 more
doaj   +1 more source

Killing vector fields and harmonic forms [PDF]

Transactions of the American Mathematical Society, 1974
The paper is concerned with harmonic ( p , q ) (p,q) -forms on compact Kähler manifolds which admit Killing vector fields with discrete zero sets. Let h p , q {h^{p,q}} denote the dimension of the space of ...
openaire   +1 more source