On locally and globally conformal kahler manifolds

Research output: Contribution to journalArticlepeer-review


Some relations between the locally conformal Kahler (l-c.K.) and the globally conformal Kahler (g.c.K.) properties are established. Compact l.c.K. manifolds which are not g.c.K. do not have Kahler metrics. l.c.K. manifolds which are not g.c.K. are analytically irreducible. Various curvature restrictions on l.c.K. manifolds imply the g.c.K. property. Total spaces of induced Hopf fibrations are l.c.K. and not g.c.K. manifolds. Conjecture. A compact l.c.K. manifold which is not gx.K. has at least one odd odd-dimensional Betti number.

Original languageEnglish
Pages (from-to)533-542
Number of pages10
JournalTransactions of the American Mathematical Society
Issue number2
StatePublished - Dec 1980

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'On locally and globally conformal kahler manifolds'. Together they form a unique fingerprint.

Cite this