arXiv subjects

Natsuki Imada

Publications and source records attributed to Natsuki Imada.

2 recordsLinked to original sources

arXiv2026

Generalized Killing spinors associated with the Ricci tensor

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.

math.DG↗

arXiv2026

Higher spin Killing spinors on 3-dimensional manifolds

We define higher spin Killing spinors on Riemannian spin manifolds in arbitrary dimension and study them in detail in dimension three. We prove a rigidity result for 3-dimensional manifolds admitting higher spin Killing spinors and give expressions for higher spin Killing spinors on the 3-sphere and the 3-hyperbolic space explicitly. We also investigate the Killing spinor type equation on integral spin bundles.

math.DG↗