Results 71 to 80 of about 85,733 (177)

Intertwined Hamiltonians in Two Dimensional Curved Spaces

, 2004
The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that
Aghababaei Samani, Aghababaei Samani, Bakalov, Balazs, Cariñena, Cooper, Demircioğlu, Dobrev, Gutzwillwer, Kalnins, Keivan Aghababaei Samani, Kuru, Mateev, Milanoviv, Mina Zarei, Mostafazadeh   +15 more
core   +2 more sources

On the Potential Vector Fields of Soliton-Type Equations

Axioms
We highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
doaj   +1 more source

Rotating dust solutions of Einstein's equations with 3-dimensional symmetry groups; Part 1: Two Killing fields spanned on u^{\alpha} and w^{\alpha }

, 1997
For a rotating dust with a 3-dimensional symmetry group all possible metric forms can be classified and, within each class, explicitly written out. This is made possible by the formalism of Pleba\'nski based on the Darboux theorem.
Andrzej Krasiński, Krasiński A., Krasiński A., Krasiński A., Raval H. M.   +4 more
core   +1 more source

Sequential Warped Products: Curvature and Killing Vector Fields

, 2019
In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study the geometry of sequential warped products and obtain covariant derivatives,
De, Uday Chand, Shenawy, Sameh, Ünal, Bülent   +2 more
core   +2 more sources

Clifford-Wolf Translations of Finsler spaces [PDF]

, 2012
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  

Projective Vector Fields on Semi-Riemannian Manifolds

Mathematics
This paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Killing vector fields on semiriemannian manifolds

Killing vector fields on semiriemannian manifolds, 1989
Itiswellknown thata Killingvectorfieldon a riemannian compact manifold is holonomic (Kostant (4)). In other words, the Ax operator(Ax=Lx―Vx=― VX) liesin the holomony algebra of the manifold. The covariant derivative of Ax gives us a curvature transfor- mation.
openaire   +2 more sources

Phantom space–times in fake supergravity

Physics Letters B, 2015
We discuss phantom metrics admitting Killing spinors in fake N=2, D=4 supergravity coupled to vector multiplets. The Abelian U(1) gauge fields in the fake theory have kinetic terms with the wrong sign.
Maryam Bu Taam, Wafic A. Sabra
doaj   +1 more source

The Torsion of Spinor Connections and Related Structures

Symmetry, Integrability and Geometry: Methods and Applications, 2006
In this text we introduce the torsion of spinor connections. In terms of the torsion we give conditions on a spinor connection to produce Killing vector fields.
Frank Klinker
doaj  

Celestial sector in CFT: Conformally soft symmetries

SciPost Physics
We show that time intervals of width $\Delta \tau$ in 3-dimensional conformal field theories (CFT$_3$) on the Lorentzian cylinder admit an infinite dimensional symmetry enhancement in the limit $\Delta \tau → 0$.
Leonardo Pipolo de Gioia, Ana-Maria Raclariu
doaj   +1 more source