Killing and Conformal Killing tensors
Differential Geometry
2017-01-20 v3
Abstract
We introduce an appropriate formalism in order to study conformal Killing (symmetric) tensors on Riemannian manifolds. We reprove in a simple way some known results in the field and obtain several new results, like the classification of conformal Killing -tensors on Riemannian products of compact manifolds, Weitzenb\"ock formulas leading to non-existence results, and construct various examples of manifolds with conformal Killing tensors.
Cite
@article{arxiv.1512.03734,
title = {Killing and Conformal Killing tensors},
author = {Konstantin Heil and Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:1512.03734},
year = {2017}
}
Comments
29 pages; the statement and the proof of Theorem 5.1 have been corrected