Embeddability of smooth Cauchy-Riemann manifolds
type: Item
instance of: scholarly article
title: Embeddability of smooth Cauchy-Riemann manifolds
zbMATH Open document ID: 0563.32010
DOI: 10.1007/BF01766848
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1985-01-01T00:00:00Z
review text: Let M be a smooth CR-manifold of real dimension 2n-1 and CR-dimension n- 1, where \(n\geq 2\). Suppose M is locally CR-embeddable into a complex manifold and its Levi form is non-vanishing at each point. In these conditions, the author proves that M is globally CR-embeddable into an n- dimensional complex manifold with boundary. If in particular, the Levi form has eigenvalues of opposite signs at each point of M, then M embeds into a complex manifold without boundary.
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 3897334
zbMATH Keywords: smooth CR-manifold
zbMATH Keywords: globally CR-embeddable
zbMATH Keywords: Levi form
author: Roman Dwilewicz
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3897334