Extension of holomorphic differential forms
type: Item
instance of: scholarly article
zbMATH Open document ID: 0987.32011
publication date: 2002-01-16T00:00:00Z
Mathematics Subject Classification ID: 32Q60
zbMATH DE Number: 1689804
zbMATH Keywords: holomorphic differential form
zbMATH Keywords: almost complex structure
zbMATH Keywords: extension of differential 1-forms
MaRDI profile type: Publication
author: Lilia Apostolova
title: Extension of holomorphic differential forms
published in: Doklady Bolgarskoĭ Akademii Nauk
review text: The author extends the well-known Hahn-Banach theorem for continuation of linear functionals on normed spaces to vector bundles on smooth manifolds. The notions of almost complex, almost quaternion and almost octonion manifolds are introduced consecutively. Then a theorem on extension of differential 1-forms on a manifold holomorphic with respect to one, two or three almost complex structures is proved under the requirement that the manifold is a submanifold of a Stein manifold with respect to one of these structures.
reviewed by: Peter R. Popivanov
description: scientific article; zbMATH DE number 1689804