In this paper we take up the problem of discussing CR manifolds of arbitrary CR codimension. We closely follow the general method of N. Tanaka, while concentrating our attention to the case of manifolds endowed with partial complex structures. This study required a deeper understanding of the structure of the Levi-Tanaka algebras, which are the canonical prolongation of pseudocomplex fundamental graded Lie algebras. These algebras enjoy special properties, the understanding of which provided also a way to build up several different examples and points to a rich field of investigations. Here we restrained further our consideration to the homogeneous models.

Levi-Tanaka algebras and homogeneous CR manifolds / Medori, Costantino; M., Nacinovich. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 109:2(1997), pp. 195-250. [10.1023/A:1000166119593]

Levi-Tanaka algebras and homogeneous CR manifolds

MEDORI, Costantino;
1997-01-01

Abstract

In this paper we take up the problem of discussing CR manifolds of arbitrary CR codimension. We closely follow the general method of N. Tanaka, while concentrating our attention to the case of manifolds endowed with partial complex structures. This study required a deeper understanding of the structure of the Levi-Tanaka algebras, which are the canonical prolongation of pseudocomplex fundamental graded Lie algebras. These algebras enjoy special properties, the understanding of which provided also a way to build up several different examples and points to a rich field of investigations. Here we restrained further our consideration to the homogeneous models.
1997
Levi-Tanaka algebras and homogeneous CR manifolds / Medori, Costantino; M., Nacinovich. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 109:2(1997), pp. 195-250. [10.1023/A:1000166119593]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1505043
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