Kähler-Einstein surface and symmetric space

Kähler-Einstein surface and symmetric space

We consider the question of characterizing compact quotients of the complex 2-ball by curvature conditions, which improve the known results. Moreover, we also give curvature conditions such that a compact Kähler-Einstein surface is bi-holomorphic to a locally symmetric space.

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Veröffentlicht in:Science China. Mathematics 2011-12, Vol.54 (12), p.2627-2634
Hauptverfasser: Chen, DaGuang, Hong, Yi, Yang, HongCang
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
China
Curvature
Mathematical analysis
Mathematics
Mathematics and Statistics
Quotients
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Zusammenfassung:We consider the question of characterizing compact quotients of the complex 2-ball by curvature conditions, which improve the known results. Moreover, we also give curvature conditions such that a compact Kähler-Einstein surface is bi-holomorphic to a locally symmetric space.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-011-4300-z