Prolongation and Killing two-tensors
Differential Geometry
2026-04-21 v1 General Relativity and Quantum Cosmology
Abstract
We present a systematic prolongation procedure and its implementation for Killing two-tensors, especially in the locally symmetric case. We use the resulting machinery to elucidate the natural quadratic mapping from Killing fields to Killing two-tensors on irreducible locally symmetric spaces of compact type.
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Cite
@article{arxiv.2604.17855,
title = {Prolongation and Killing two-tensors},
author = {Michael Eastwood and Thomas Leistner},
journal= {arXiv preprint arXiv:2604.17855},
year = {2026}
}
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38 pages