Existence of extremal metrics on compact almost homogeneous Kähler manifolds with two ends
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- by Daniel Guan PDF
- Trans. Amer. Math. Soc. 347 (1995), 2255-2262 Request permission
Abstract:
In this note we prove the existence and the uniqueness of extremal metrics in every Kähler class of any compact almost homogeneous Kähler manifold with two ends by considering the scalar curvature equations, those manifolds might not be projective. We also prove that there are extremal metrics in some Kähler classes of a completion of the multicanonical line bundle of a Kähler-Einstein manifold of positive Ricci curvature.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 2255-2262
- MSC: Primary 58E11; Secondary 53C25, 53C55
- DOI: https://doi.org/10.1090/S0002-9947-1995-1285992-6
- MathSciNet review: 1285992