Spectrum of the Lichnerowicz Laplacians on the spheres and the real projective spaces

DOI10.5565/PUBLMAT_43299_02zbMath0964.58024MaRDI QIDQ1970325

Mohamed Boucetta

Publication date: 8 July 2001

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41374

zbMATH Keywords

spherespectrumeigenspaceLichnerowicz Laplacianreal projective spaceHodge-de Rham Laplaciansymmetric form of degree 2the Berger-Ebin decomposition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Minimal hypersurfaces with small first eigenvalue in manifolds of positive Ricci curvature ⋮ TT-eigentensors for the Lichnerowicz Laplacian on some asymptotically hyperbolic manifolds with warped products metrics ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ The prescribed cross curvature problem on the three-sphere ⋮ Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(\mathbb P^n(\mathbb C)\) ⋮ Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(S^{n}\) ⋮ An example of Lichnerowicz-type Laplacian

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