13 citations · 38 across the 13 of their papers we have counts for
13 papers
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 i…
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…
The spinor and tensor fields with higher spin on spaces of constant curvature
Yasushi Homma, Takuma Tomihisa
In this article, we give all the Weitzenböck-type formulas among the geometric first order differential operators on the spinor fields with spin over Riemannian spin manifo…
Spectra of the Rarita-Schwinger operator on some symmetric spaces
Yasushi Homma, Takuma Tomihisa
We give a method to calculate spectra of the square of the Rarita-Schwinger operator on compact symmetric spaces. According to Weitzenböck formulas, the operator can be written by…
The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
Yasushi Homma, Uwe Semmelmann
We study the Rarita-Schwinger operator on compact Riemannian spin manifolds. In particular, we find examples of compact Einstein manifolds with positive scalar curvature where the…
Estimating the eigenvalues on Quaternionic Kähler Manifolds
Yasushi Homma
We study geometric first order differential operators on quaternionic Kähler manifolds. Their principal symbols are related to the enveloping algebra and Casimir elements for $\Sp(…