The spinor and tensor fields with higher spin on spaces of constant curvature
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Publication:824395
DOI10.1007/s10455-021-09791-4OpenAlexW3183665637MaRDI QIDQ824395
Yasushi Homma, Takuma Tomihisa
Publication date: 15 December 2021
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.09840
space of constant curvaturegeneralized gradientsLichnerowicz LaplacianWeitzenböck formulas(higher spin) Diracharmonic analysis on spheres
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Spectral theory; eigenvalue problems on manifolds (58C40)
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Cites Work
- Killing and conformal Killing tensors
- Twisted Dirac operators and generalized gradients
- Factorization of Laplace operators on higher spin representations
- Universal positive mass theorems
- A new proof of Branson's classification of elliptic generalized gradients
- Killing tensor fields on the standard sphere and spectra of \(SO(n+1)/SO(n-1)\times SO(2)\) and \(O(n+1)/O(n-1)\times O(2)\)
- Harmonic analysis in vector bundles associated to the rotation and spin groups
- Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
- Stein-Weiss operators and ellipticity
- An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds
- Conformal Killing forms on Riemannian manifolds
- Symmetric analogues of Rarita-Schwinger equations
- Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
- Manifolds with many Rarita-Schwinger fields
- The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
- Harmonic analysis of the de Rham complex on the sphere.
- CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
- Second order conformal covariants
- Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds
- Spectra of the Rarita-Schwinger operator on some symmetric spaces
- Killing tensor fields on spaces of constant curvature
- Rarita-Schwinger type operators in Clifford analysis
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