Spectra of Lichnerowicz Laplacians on spheres and real projective spaces.

Mohamed Boucetta

Publicacions Matemàtiques (1999)

  • Volume: 43, Issue: 2, page 451-483
  • ISSN: 0214-1493

Abstract

top
In this paper, we compute the spectrum of the Lichnerowicz laplacian on the symmetric forms of degree 2 on the sphere Sn and the real projective space RPn. 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.

How to cite

top

Boucetta, Mohamed. "Spectre des laplaciens de Lichnerowicz sur les sphères et les projectifs réels.." Publicacions Matemàtiques 43.2 (1999): 451-483. <http://eudml.org/doc/41374>.

@article{Boucetta1999,
author = {Boucetta, Mohamed},
journal = {Publicacions Matemàtiques},
keywords = {Espacio proyectivo; Geometría esférica; Espectro del laplaciano; symmetric form of degree 2; the Berger-Ebin decomposition; sphere; real projective space; Lichnerowicz Laplacian; Hodge-de Rham Laplacian; spectrum; eigenspace},
language = {fre},
number = {2},
pages = {451-483},
title = {Spectre des laplaciens de Lichnerowicz sur les sphères et les projectifs réels.},
url = {http://eudml.org/doc/41374},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Boucetta, Mohamed
TI - Spectre des laplaciens de Lichnerowicz sur les sphères et les projectifs réels.
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 2
SP - 451
EP - 483
LA - fre
KW - Espacio proyectivo; Geometría esférica; Espectro del laplaciano; symmetric form of degree 2; the Berger-Ebin decomposition; sphere; real projective space; Lichnerowicz Laplacian; Hodge-de Rham Laplacian; spectrum; eigenspace
UR - http://eudml.org/doc/41374
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.