Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on Pⁿ(\comp)

2007/12/17 by Mohamed Boucetta, Boucetta, Mohamed · 1 citation
Mathematics · Physics and Astronomy · #53B21 #53B50 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:53B21 #msc:53B50

paper · pdf · doi:10.48550/arxiv.0712.2830

arxiv created 2007/12/17 · arxiv updated 2009/12/01

Abstract

We compute the eigenvalues with multiplicities of the Lichnerowicz Laplacian acting on the space of complex symmetric covariant tensor fields on the complex projective space Pⁿ(\comp). The spaces of symmetric eigentensors are explicitly given.

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