English

Killing spinor-valued forms and the cone construction

Differential Geometry 2016-05-24 v1 Mathematical Physics Analysis of PDEs math.MP Representation Theory

Abstract

On a pseudo-Riemannian manifold M\mathcal{M} we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on M\mathcal{M} and parallel fields on the metric cone over M\mathcal{M} for spinor-valued forms.

Keywords

Cite

@article{arxiv.1605.06947,
  title  = {Killing spinor-valued forms and the cone construction},
  author = {Petr Somberg and Petr Zima},
  journal= {arXiv preprint arXiv:1605.06947},
  year   = {2016}
}
R2 v1 2026-06-22T14:07:03.746Z