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- W2069853890 abstract "We have seen that the Ricci curvature represents the first Chern class. In this section, we will consider the converse problem, namely, given a Kahler class [ω] ∈ H2 (M, ℝ) ∩ H1,2 (M, ℂ) on a compact Kahler manifold M and any form Ω representing the first Chern class, can we find a metric ω ∈ [ω] such that Ric(ω) = Ω? This is known as the Calabi conjecture and it was solved by Yau in 1976. We will state it here as a theorem and refer to it as the Calabi-Yau Theorem." @default.
- W2069853890 created "2016-06-24" @default.
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- W2069853890 date "2000-01-01" @default.
- W2069853890 modified "2023-09-27" @default.
- W2069853890 title "Kähler-Einstein metrics with non-positive scalar curvature" @default.
- W2069853890 doi "https://doi.org/10.1007/978-3-0348-8389-4_5" @default.
- W2069853890 hasPublicationYear "2000" @default.
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