4 papers
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…
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…
Infinitesimal deformations of Killing spinors on nearly parallel -manifolds
Soma Ohno
Manifolds admitting Killing spinors are Einstein manifolds. Thus, a deformation of a Killing spinor entails a deformation of Einstein metrics. In this paper, we study infinitesimal…
Rarita-Schwinger fields on nearly Kähler manifolds
Soma Ohno, Takuma Tomihisa
We study Rarita-Schwinger fields on 6-dimensional compact strict nearly Kähler manifolds. In order to investigate them, we clarify the relationship between some differential operat…