Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on Sⁿ

2007/04/11 by Mohamed Boucetta, M. Boucetta, Boucetta, M. · 1 citation
Mathematics · Physics and Astronomy · #53B21 #53B50 #58C40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:53B21 #msc:53B50 #msc:58C40

paper · pdf · doi:10.48550/arxiv.0704.1363

21 pages

arxiv created 2007/04/11 · openalex publication_date 2007/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the eigenvalues with multiplicities of the Lichnerowicz Laplacian acting on the space of symmetric covariant tensor fields on the Euclidian sphere Sⁿ. The spaces of symmetric eigentensors are explicitly given.

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