Prolongation of holomorphic vector fields on a tube domain

Satoru Shimizu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper, we discuss some algebraic criterion on the completeness of holomorphic vector fields on a tube domain TΩ. Our objects of consideration are polynomial vector fields on TΩ. We give a method of determining the higher degree complete polynomial vector fields from the data on the lower degree complete polynomial vector fields, which we call prolongation. Furthermore, we give its applications to the holomorphic equivalence problem for tube domains.

Original languageEnglish
Pages (from-to)495-514
Number of pages20
JournalTohoku Mathematical Journal
Issue number4
Publication statusPublished - 2013 Dec


  • Holomornhic vector fields
  • Tube domains

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Prolongation of holomorphic vector fields on a tube domain'. Together they form a unique fingerprint.

Cite this