Geodesic
Nonlinear equations on Carnot groups and curvature problems for CR manifolds
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 227-238

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

We give a short overview of sub-Laplacians on Carnot groups starting from a result by Caccioppoli dated 1934. Then we show that sub-Laplacians on Carnot groups of step one arise in studying curvature problems for $CR$ manifolds. We restrict our presentation to the cases of the Webster-Tanaka curvature problem for the $CR$ sphere and of the Levi-curvature equation for strictly pseudoconvex functions. 
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     author = {Lanconelli, Ermanno},
     title = {Nonlinear equations on {Carnot} groups and curvature problems for {CR} manifolds},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {227--238},
     publisher = {mathdoc},
     volume = {Ser. 9, 14},
     number = {3},
     year = {2003},
     zbl = {1225.35059},
     mrnumber = {MR2064269},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a5/}
}
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Lanconelli, Ermanno. Nonlinear equations on Carnot groups and curvature problems for CR manifolds. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 227-238. http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a5/