Complex manifolds with negative curvature operator

MAN CHUN LEE, JEFFREY STREETS

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that compact complex manifolds with admitting metrics with negative Chern curvature operator either admit a ddc-exact positive (1, 1) current, or are Kähler with ample canonical bundle. In the case of complex surfaces we obtain a complete classification. The proofs rely on a global existence and convergence result for the pluriclosed flow.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Mar 29 2019
Externally publishedYes

ASJC Scopus subject areas

  • General

Cite this