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math.DG2021
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…
math.DG2020
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…
math.DG2020★ 2 cited
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…