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arXiv · 1512.03734

Killing and Conformal Killing tensors

Konstantin Heil·Andrei Moroianu·Uwe Semmelmann
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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 $2$-tensors on Riemannian products of compact manifolds, Weitzenböck formulas leading to non-existence results, and construct various examples of manifolds with conformal Killing tensors.

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Konstantin Heil, Andrei Moroianu, Uwe Semmelmann. 2016-03-17. Killing and Conformal Killing tensors. https://doi.org/10.1016/j.geomphys.2016.04.014

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