Conformal Killing vector field information

In conformal geometry, a conformal Killing vector field on a manifold of dimension n with (pseudo) Riemannian metric g {\displaystyle g} (also called a...

In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian...

mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fields. It is...

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...

Regional Airport Conformal Killing vector field, sometimes shortened to conformal Killing vector or just CKV, a vector field in conformal geometry This disambiguation...

mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group, known as the conformal group. The extension includes...

by similarity reduction. Affine vector field Conformal Killing vector field Curvature collineation Killing vector field Matter collineation Spacetime symmetries...

conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry...

kind of spinor field related to Killing vector fields and Killing tensors. If M {\displaystyle {\mathcal {M}}} is a manifold with a Killing spinor, then...

({\mathcal {L}}_{X}g_{ab})_{;c}=0} Conformal vector field Curvature collineation Homothetic vector field Killing vector field Matter collineation Spacetime...

geodesics without necessarily preserving the affine parameter. A conformal vector field is one which satisfies: L X g = ϕ g {\displaystyle {\mathcal {L}}_{X}g=\phi...

system Sasakian manifold Poisson manifold Möbius transformation Conformal map conformal connection tractor bundle Weyl curvature Weyl–Schouten theorem...

V} -module, and genuine V-modules must respect the conformal structure given by the conformal vector ω {\displaystyle \omega } . More precisely, they are...

for conformal Killing group. CKM The Cabibbo–Kobayashi–Maskawa matrix. CKS Short for conformal Killing spinor. CKV Short for conformal Killing vector. CFT...

the Killing vector fields. The symmetries form a group Aut(M){\displaystyle {\text{Aut}}(M)}, the automorphisms of spacetime. In this case the fields of...

electromagnetic field, a Killing vector field does not necessarily preserve the electric and magnetic fields. Affine vector field Conformal vector field Curvature...

infinite-dimensional. Every affine vector field is a curvature collineation. Conformal vector field Homothetic vector field Killing vector field Matter collineation...

real orthogonal transforms preserve angles, and are thus conformal maps, though not all conformal linear transforms are orthogonal. In classical terms this...

algebras play an important role in string theory and two-dimensional conformal field theory due to the way they are constructed: starting from a simple...

In mathematics, a Lie algebra (pronounced /liː/ LEE) is a vector space g {\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket...

commutator, one obtains the energy–momentum tensor of a two-dimensional conformal field theory. When this tensor is expanded as a Laurent series, the resulting...

define affine Lie algebras, which are used in physics, particularly conformal field theory. Similarly, a set of all smooth maps from S1 to a Lie group...

equal to the dual Coxeter number. Killing form Philippe Di Francesco, Pierre Mathieu, David Sénéchal, Conformal Field Theory, 1997 Springer-Verlag New...

continuous group, the infinitesimal generators of the group are the Killing vector fields. The Myers–Steenrod theorem states that every isometry between two...

can be identified with vector fields on R4. In particular, the vectors that generate isometries on a space are its Killing vectors, which provides a convenient...

example: in conformal geometry an equivalence class of connections is given by the Levi Civita connections of all metrics in the conformal class; in projective...