Revistes Catalanes amb Accés Obert (RACO)

Spectre des Laplaciens de Lichnerowicz sur les sphères et les projectifs réels

M. Boucetta

Resum


In this paper, we compute the spectrum of the Lichnerowicz laplacian on the symmetric forms of degree 2 on the sphere $S^n$ and the real projective space ${\mathbb R} P^n$. This is obtained by generalizing to forms the calculations of the spectrum of the laplacian on fonctions done via restriction of harmonic polynomials on euclidean space.

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