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CR-structures on a real Lie algebra

Giuliana GiganteGiuseppe Tomassini — 1991

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Given the notion of C R -structures without torsion on a real 2 n + 1 dimensional Lie algebra L 0 we study the problem of their classification when L 0 is a reductive algebra.

Foliations with complex leaves

Giuliana GiganteGiuseppe Tomassini — 1993

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let X be a smooth foliation with complex leaves and let D be the sheaf of germs of smooth functions, holomorphic along the leaves. We study the ringed space X , D . In particular we concentrate on the following two themes: function theory for the algebra D X and cohomology with values in D .

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