2 papers
math.DG2026
Eigenvalue value estimates and stability of positive quaternion-Kähler manifolds
Yasushi Homma, Uwe Semmelmann
In this article we study the stability problem for positive quaternion-Kähler manifolds. We give a description of infinitesimal Einstein deformations and destabilising directions…
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…