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 2011

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Integrability
Metric
Geodesic Flow
Nondegeneracy
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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On Liouville integrability of h-projectively equivalent Kähler metrics. / Kiyohara, Kazuyoshi; Topalov, Peter.

In: Proceedings of the American Mathematical Society, Vol. 139, No. 1, 01.2011, p. 231-242.

Research output: Contribution to journalArticle

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