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

14 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

Access to Document

10.1090/S0002-9939-2010-10576-2

Cite this

@article{9b71c3d6b216426c867278fd77aba8a4,

title = "On Liouville integrability of h-projectively equivalent K{\"a}hler metrics",

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.",

author = "Kazuyoshi Kiyohara and Peter Topalov",

year = "2011",

month = jan,

doi = "10.1090/S0002-9939-2010-10576-2",

language = "English",

volume = "139",

pages = "231--242",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - On Liouville integrability of h-projectively equivalent Kähler metrics

AU - Kiyohara, Kazuyoshi

AU - Topalov, Peter

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78650723667&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650723667&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2010-10576-2

DO - 10.1090/S0002-9939-2010-10576-2

M3 - Article

AN - SCOPUS:78650723667

VL - 139

SP - 231

EP - 242

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -

On Liouville integrability of h-projectively equivalent Kähler metrics

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this