Spectra of the Rarita-Schwinger operator on some symmetric spaces

zbMath1464.53065arXiv2001.06167MaRDI QIDQ5858418

Yasushi Homma, Takuma Tomihisa

Publication date: 13 April 2021

Full work available at URL: https://arxiv.org/abs/2001.06167

zbMATH Keywords

Dirac operatorRarita-Schwinger operatorCasimir operator on symmetric spaces

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Differential geometry of symmetric spaces (53C35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

The spinor and tensor fields with higher spin on spaces of constant curvature ⋮ Rarita-Schwinger fields on nearly Kähler manifolds ⋮ Rarita-Schwinger fields on nearly parallel \(\operatorname{G}_2\)-manifolds ⋮ Manifolds with many Rarita-Schwinger fields

Cites Work

• Twisted Dirac operators and generalized gradients
• Spectrum of the Dirac operator on complex projective space \(P_{2q- 1}({\mathbb{C}})\)
• The Dirac spectrum
• Spectra of Laplace-Beltrami operators on SO(n+2)/SO(2)xSO(n) and Sp(n+1)/Sp(1)xSp(n)
• Symmetric analogues of Rarita-Schwinger equations
• The standard Laplace operator
• Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
• The Dirac operator on space forms of positive curvature
• The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
• Killing forms on symmetric spaces
• Polynomial Solutions For Arbitrary Higher Spin Dirac Operators
• Rarita-Schwinger type operators in Clifford analysis
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