Results 21 to 30 of about 130,273 (231)
Killing vector fields and harmonic forms [PDF]
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
As‐Killing‐As‐Possible Vector Fields for Planar Deformation [PDF]
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
openaire +1 more source
Extrema of Mass, First Law of Black Hole Mechanics and Staticity Theorem in Einstein-Maxwell-axion-dilaton Gravity [PDF]
Using the ADM formulation of the Einstein-Maxwell axion-dilaton gravity we derived the formulas for the variation of mass and other asymptotic conserved quantities in the theory under consideration. Generalizing this kind of reasoning to the initial dota
A. E. Fisher +67 more
core +2 more sources
Killing Vector Fields and Holonomy Algebras [PDF]
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
openaire +3 more sources
On the existence of Killing vector fields [PDF]
9 pages, no figure, to appear in Class.
openaire +3 more sources
Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes
This paper intends to obtain concircular vector fields of Kantowski Sachs and Bianch type III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields are derived along with ...
Ali, Ahmad T +2 more
core +1 more source
A Twisting Electrovac Solution of Type II with the Cosmological Constant [PDF]
An exact solution of the current-free Einstein-Maxwell equations with the cosmological constant is presented. It is of Petrov type II, and its double principal null vector is geodesic, shear-free, expanding, and twisting.
D. Kramer +3 more
core +2 more sources
Killing Symmetries in $\mathcal{H}$-Spaces with $\Lambda$
All Killing symmetries in complex $\mathcal{H}$-spaces with $\Lambda$ in terms of the Pleba\'nski - Robinson - Finley coordinate system are found. All $\mathcal{H}$-metrics with $\Lambda$ admitting a null Killing vector are explicitly given.
Chudecki, Adam, Przanowski, Maciej
core +1 more source
Five-dimensional null & time-like supersymmetric geometries [PDF]
We show that there exist supersymmetric solutions of five-dimensional, pure, $\mathcal{N}=1$ Supergravity such that the norm of the supersymmetric Killing vector, built out of the Killing spinor, is a real not-everywhere analytic function such that all ...
Pasini, Giulio, Shahbazi, C. S.
core +1 more source
Palatini Formalism of 5-Dimensional Kaluza-Klein Theory
The Einstein field equations can be derived in $n$ dimensions ($n>2$) by the variations of the Palatini action. The Killing reduction of 5-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are preserved by the ...
de Vega H. J. +11 more
core +1 more source

