Generalized Killing spinors associated with the Ricci tensor
Differential Geometry
2026-05-21 v1
Abstract
In this paper, we introduce the notion of Ricci Killing spinors on Riemannian spin manifolds, which form a class between generalized Killing spinors and standard Killing spinors. We prove an existence theorem for Ricci Killing spinors that are not Killing spinors on a certain class of Sasakian manifolds. This yields new examples of manifolds admitting generalized Killing spinors.
Keywords
Cite
@article{arxiv.2605.20694,
title = {Generalized Killing spinors associated with the Ricci tensor},
author = {Natsuki Imada},
journal= {arXiv preprint arXiv:2605.20694},
year = {2026}
}
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8 pages