Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $P^n(\comp)$

Physics – Mathematical Physics

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Scientific paper

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 $P^n(\comp)$. The spaces of symmetric eigentensors are
explicitly given.

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