A formula for the first eigenvalue of the Dirac operator on compact spin symmetric spaces

DOI10.1063/1.2186924zbMath1111.58023arXivmath/0501411OpenAlexW3098962616MaRDI QIDQ3441739

Jean-Louis Milhorat

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501411

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (2)

On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or quaternion-Kähler structure ⋮ The decomposition of the spinor bundle of Grassmann manifolds

Cites Work

• Unnamed Item
• Parallel spinors and parallel forms
• The spectrum of the Dirac operator on \(G_2/SO(4)\)
• Dirac operator and the discrete series
• The first eigenvalue of the Dirac operator on compact spin symmetric spaces
• Analysis on a Generalized Heisenberg Group
• Spectrum of the Dirac operator on Gr2(Cm+2)

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