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A Local Construction of Hyperkähler Metrics on the Fermat Surface
Kwang-Soon Parkparkksn@snu.ac.krDepartment of Mathematical SciencesSeoul National UniversitySeoul, 151–747, KoreaView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2011.10698601
- Pages:
- 185–200
Abstract
Since S. T. Yau proves the Calabi-Yau theorem, there are only examples of Calabi-Yau metrics on the noncompact manifolds but no one on the compact manifolds. In this paper, we give some examples of Calabi-Yau metrics on a compact manifold.
Keywords
References
- Beauville, A.1983 . Variétés Kähleriennes dont la lère classe de Chern est nulle . , 18 : 755 – 782 .
- Besse, A.1987 . , New York: Springer-Verlag .
- Griffiths, P. and Harris, J.1978 . , New York: Wiley-Interscience .
- Hitchin, N.J., Karlhede, A., Lindsträm, U. and Roček, M.1987 . Hyperkähler metrics and Supersymmetry . , 108 : 535 – 589 .
- Huybrechts, D.1999 . Compact hyperkähler manifolds: basic results . , 135 : 63 – 113 .
- Kobayashi, S.1987 . , Princeton: Princeton University Press .
- Siu, Y.T.1983 . Every K3 surface is kähler . , 73 : 139 – 150 .
- Verbitsky, M.1997 . preprint
- Yau, S.T.1978 . On the Ricci curvature of a compact kähler manifold and the complex Monge-Ampère equation I . , 31 : 339 – 411 .
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