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arXiv · 2605.20694

Generalized Killing spinors associated with the Ricci tensor

Natsuki Imada
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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.

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Natsuki Imada. 2026-05-20. Generalized Killing spinors associated with the Ricci tensor. https://arxiv.org/abs/2605.20694

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