On the density and the volume density property

Shulim Kaliman, Frank Kutzschebauch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

This article gives a short introduction into the notions of density property (DP) and volume density property (VDP). Moreoverwe develop an effective criterion of verifying whether a given X has VDP. As an application of this method we give a new proof of the basic fact that the product of two Stein manifolds with VDP admits VDP.

Original languageEnglish (US)
Title of host publicationComplex Analysis and Geometry - KSCV 2014
EditorsJisoo Byun, Filippo Bracci, Hervé Gaussier, Kang-Tae Kim, Nikolay Shcherbina, Kengo Hirachi
PublisherSpringer New York LLC
Pages175-186
Number of pages12
ISBN (Print)9784431557432
DOIs
StatePublished - 2015
Event10th Korean Conference on Several Complex Variables, KSCV 2014 - Gyeongju, Korea, Republic of
Duration: Aug 7 2014Aug 11 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume144
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

Other10th Korean Conference on Several Complex Variables, KSCV 2014
Country/TerritoryKorea, Republic of
CityGyeongju
Period8/7/148/11/14

Keywords

  • Density property
  • Flexibility
  • Holomorphic automorphisms
  • Stein manifolds
  • Volume density property

ASJC Scopus subject areas

  • Mathematics(all)

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