The Continuity Equation, Hermitian Metrics and Elliptic Bundles

Morgan Sherman, Ben Weinkove*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We extend the continuity equation of La Nave–Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern–Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.

Original languageEnglish (US)
Pages (from-to)762-776
Number of pages15
JournalJournal of Geometric Analysis
Issue number1
StatePublished - Jan 1 2020


  • Chern–Ricci curvature
  • Continuity equation
  • Elliptic bundles
  • Hermitian metrics

ASJC Scopus subject areas

  • Geometry and Topology


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