2 papers
math.DG2026
Left-invariant Rarita-Schwinger fields on 3-dimensional Lie groups
Soma Ohno
We classify left-invariant Rarita-Schwinger fields on 2- and 3-dimensional Lie groups with left-invariant Riemannian metrics. The left-invariant Rarita-Schwinger equation is reduce…
math.DG2026
Higher spin Killing spinors on 3-dimensional manifolds
Yasushi Homma, Natsuki Imada, Soma Ohno
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…