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Geometry of Ricci solitons admitting a new geometric vector field [PDF]
AUT Journal of Mathematics and ComputingIn 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 +2 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
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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 +3 more
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As‐Killing‐As‐Possible Vector Fields for Planar Deformation [PDF]
Computer Graphics Forum, 2011 AbstractCartoon animation, image warping, and several other tasks in two‐dimensional computer graphics reduce to the formulation of a reasonable model for planar deformation. A deformation is a map from a given shape to a new one, and its quality is determined by the type of distortion it introduces.
Justin Solomon 0001 +3 more
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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 +3 more
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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 +2 more
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Hypersurfaces in a Euclidean Space with a Killing Vector Field
AIMS Mathematics, 2023 An odd-dimensional sphere admits a killing vector field, induced by the transform of the unit normal by the complex structure of the ambiant Euclidean space. In this paper, we study orientable hypersurfaces in a Euclidean space those admit a unit Killing vector field and find two characterizations of odd-dimensional spheres.
Mohammed Guediri, Sharief Deshmukh
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Killing Vector Fields and Holonomy Algebras [PDF]
Proceedings of the American Mathematical Society, 1984 We prove that for each Killing vector field X X on a complete Riemannian manifold, whose orthogonal distribution is involutive, the ( 1 , 1 ) (1,1) skew-symmetric operator A X {A_X} associated to X X by
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Analytical solutions of spherical structures with relativistic corrections
European Physical Journal C: Particles and Fields, 2023 This paper analyzes the characteristic of a non-static sphere along with anisotropic fluid distribution in the background of modified $$f(\mathcal {G})$$ f ( G ) theory.
M. Z. Bhatti +3 more
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CCNV Space-Times as Potential Supergravity Solutions
Advances in Mathematical Physics, 2018 It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector ...
A. Coley, D. McNutt, N. Pelavas
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