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 | |
| Publication status | Published - Jan 2011 |
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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 journal › Article
}
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 -