Geodesic
Solvability of invariant sublaplacians on spheres and group contractions
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 1, pp. 27-42 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

Voir la notice de l'article

In the first part of this paper we study the local and global solvability and the hypoellipticity of a family of left-invariant sublaplacians $\mathcal{L}_{\alpha}$ on the spheres $S^{2n+1} \simeq U(n+1)/U(n)$. In the second part, we introduce a larger family of left-invariant sublaplacians $\mathcal{L}_{\alpha,\beta}$ on $S^{3} \simeq SU(2)$ and study the corresponding properties by means of a Lie group contraction to the Heisenberg group. 
@article{RLIN_2001_9_12_1_a2,
     author = {Ricci, Fulvio and Unterberger, J\'er\'emie},
     title = {Solvability of invariant sublaplacians on spheres and group contractions},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {27--42},
     year = {2001},
     volume = {Ser. 9, 12},
     number = {1},
     zbl = {1170.35373},
     mrnumber = {MR1898446},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a2/}
}
TY  - JOUR
AU  - Ricci, Fulvio
AU  - Unterberger, Jérémie
TI  - Solvability of invariant sublaplacians on spheres and group contractions
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2001
SP  - 27
EP  - 42
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a2/
LA  - en
ID  - RLIN_2001_9_12_1_a2
ER  - 
%0 Journal Article
%A Ricci, Fulvio
%A Unterberger, Jérémie
%T Solvability of invariant sublaplacians on spheres and group contractions
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2001
%P 27-42
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a2/
%G en
%F RLIN_2001_9_12_1_a2
Ricci, Fulvio; Unterberger, Jérémie. Solvability of invariant sublaplacians on spheres and group contractions. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 1, pp. 27-42. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a2/