synthetic differential geometry
Introductions
from point-set topology to differentiable manifolds
geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry
Differentials
Tangency
The magic algebraic facts
Theorems
Axiomatics
Models
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
On a (pseudo-)Riemannian manifold a Killing-Yano tensor is a differential form such that
where is the covariant derivative with respect to the Levi-Civita connection of .
There is also a variant of conformal Killing-Yano tensors
(…)
Killing-Yano tensors serve as “square roots” of Killing tensor. In a spacetime with a Killing tensor the relativistic particle has an extra conserved quantity. If it refines to a Killing-Yano tensor then also the spinning particle or superparticle has an extra odd conserved quantity. If then this is an extra worldline supersymmetry.
The Kerr spacetime admits a conformal Killing-Yano tensor (…)
For instance
O. P. Santillan, Killing-Yano tensors and some applications (arXiv:1108.0149)
Jacek Jezierski, Maciej Łukasik, Conformal Yano-Killing tensor for the Kerr metric and conserved quantities (arXiv:gr-qc/0510058)
W. Dietz and R. Rüdiger, Space-Times Admitting Killing-Yano Tensors. I Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences Vol. 375, No. 1762 (Mar. 31, 1981), pp. 361 (JSTOR)
Last revised on September 17, 2011 at 13:23:18. See the history of this page for a list of all contributions to it.