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Levi-flat and solvable CR-structures on real Lie-algebras

✍ Scribed by Daniele Gouthier

Publisher: Springer
Year: 1998
Tongue: English
Weight: 443 KB
Volume: 175
Category: Article
ISSN: 0373-3114
DOI: 10.1007/bf01783680

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Lie-CR-structures on a real Lie algebra

✍ Daniele Gouthier 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 851 KB

Let g,, be a real Lie algebra and g its complexification. The aim of this paper is to study the Lie-CRstructures (in the following we shall call them just LCR-structures) on g,. To an LCR-structure corresponds a CR-structure on the associated real Lie group Go for which right and left translations a

CR-structures on a real Lie algebra

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Levi-fat and then the Lie group G, corresponding to go is a Levi-flat CR-manifold. Moreover if q is an ideal, then p (with the complex structure J) is a complex subalgebra. In particular Go contains a complex Lie subgroup of positive dimension. In this paper we are interested in CR-structures of re