On Liouville integrability of h-projectively equivalent Kähler metrics

Kazuyoshi Kiyohara; Peter Topalov

doi:10.1090/S0002-9939-2010-10576-2

On Liouville integrability of h-projectively equivalent Kähler metrics

Kazuyoshi Kiyohara, Peter Topalov

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

12 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 language	English
Pages (from-to)	231-242
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-2010-10576-2
Publication status	Published - Jan 2011

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "Under a nondegeneracy condition we classify the compact connected K{\"a}hler manifolds admitting pairs of h-projectively equivalent metrics. Any such manifold is biholomorphically equivalent to ℂPn and has integrable geodesic flow.",

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