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 publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York LLC
Pages175-186
Number of pages12
Volume144
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

Other

Other10th Korean Conference on Several Complex Variables, KSCV 2014
CountryKorea, 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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  • Cite this

    Kaliman, S., & Kutzschebauch, F. (2015). On the density and the volume density property. In Springer Proceedings in Mathematics and Statistics (Vol. 144, pp. 175-186). Springer New York LLC. https://doi.org/10.1007/978-4-431-55744-9_12