Spectral isolation of bi-invariant metrics on compact Lie groups

DOI10.5802/aif.2567zbMath1203.53035arXiv0710.2911OpenAlexW2962809192WikidataQ115159032 ScholiaQ115159032MaRDI QIDQ609656

Craig J. Sutton, Carolyn S. Gordon, Dorothee Schueth

Publication date: 1 December 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2911

zbMATH Keywords

Lie groupLaplacianeigenvalue spectrumleft-invariant metricbi-invariant metric.

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Spectral isolation of naturally reductive metrics on simple Lie groups ⋮ Spectral uniqueness of bi-invariant metrics on symplectic groups ⋮ The first eigenvalue of a homogeneous CROSS

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