Smoothing positive currents and the existence of Kähler-Einstein metrics

Smoothing positive currents and the existence of Kähler-Einstein metrics

In this paper, we prove a general existence theorem of Kähler-Einstein metrics on complete Kähler manifolds. We use the heat equation method smoothing certain positive (1, 1) current in the canonical class.

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Veröffentlicht in:Science China. Mathematics 2012-05, Vol.55 (5), p.893-912
1. Verfasser: Chen, BingLong
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Astronomy
China
Existence theorems
Heat equations
Manifolds
Mathematical analysis
Mathematics
Mathematics and Statistics
Series (mathematics)
Smoothing
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Zusammenfassung:In this paper, we prove a general existence theorem of Kähler-Einstein metrics on complete Kähler manifolds. We use the heat equation method smoothing certain positive (1, 1) current in the canonical class.
ISSN:1674-7283
1006-9283
1869-1862
DOI:10.1007/s11425-011-4347-x