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

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. 
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     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},
     publisher = {mathdoc},
     volume = {Ser. 9, 12},
     number = {1},
     year = {2001},
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     mrnumber = {MR1898446},
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     url = {http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_1_a2/}
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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/