On the Dirac spectrum of homogeneous 3-spheres

DOI10.1007/S12220-022-00997-XzbMath1497.58017arXiv2204.12990OpenAlexW4293177487WikidataQ114220965 ScholiaQ114220965MaRDI QIDQ2169107

Dorothee Schueth, Jordi Kling

Publication date: 29 August 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12990

zbMATH Keywords

Dirac operatorSO(3)fundamental toneSU(2)spectral rigidityhomogeneous 3-sphere

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Isospectrality (58J53)

Cites Work

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• The Dirac spectrum
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• The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
• Curvatures of left invariant metrics on Lie groups
• Properties of the Dirac spectrum on three dimensional lens spaces
• The first eigenvalue of a homogeneous CROSS
• The smallest Laplace eigenvalue of homogeneous 3-spheres
• Geometric structures and the Laplace spectrum, Part II

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