On a Riemannian manifold admitting Killing vectors whose covariant derivatives are conformal Killing tensors

Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors

Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...

Killing Tensors from Conformal Killing Vectors

Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...

Irreducible Killing Tensors from Conformal Killing Vectors

S. Brian EDGAR †, Rafaelle RANI ‡ and Alan BARNES § † Department of Mathematics, Linköping University, Linköping, Sweden S581-83 E-mail: [email protected] ‡ Institute of Astronomy and Astrophysics, Department of Theoretical Astrophysics, University of Tübingen, D-72076 Tübingen, Germany E-mail: [email protected] § School of Engineering & Applied Science, Aston University, Birmingh...

Killing Tensors from Conformal Killing Ve tors

Killing-Poisson tensors on Riemannian manifolds

We introduce a new class of Poisson structures on a Riemannian manifold. A Poisson structure in this class will be called a Killing-Poisson structure. The class of Killing-Poisson structures contains the class of symplectic structures, the class of Poisson structures studied in (Differential Geometry and its Applications, Vol. 20, Issue 3 (2004), 279–291) and the class of Poisson structures ind...