On Liouville integrability of h-projectively equivalent Kähler metrics

Kazuyoshi Kiyohara, Peter Topalov

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Under a nondegeneracy condition we classify the compact connected Kähler manifolds admitting pairs of h-projectively equivalent metrics. Any such manifold is biholomorphically equivalent to ℂPn and has integrable geodesic flow.

Original languageEnglish
Pages (from-to)231-242
Number of pages12
JournalProceedings of the American Mathematical Society
Volume139
Issue number1
DOIs
Publication statusPublished - Jan 1 2011

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On Liouville integrability of h-projectively equivalent Kähler metrics'. Together they form a unique fingerprint.

  • Cite this