Hermitian-Einstein metrics for vector bundles on complete Kähler manifolds
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- by Lei Ni and Huaiyu Ren PDF
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Abstract:
In this paper, we prove the existence of Hermitian-Einstein metrics for holomorphic vector bundles on a class of complete Kähler manifolds which include Hermitian symmetric spaces of noncompact type without Euclidean factor, strictly pseudoconvex domains with Bergman metrics and the universal cover of Gromov hyperbolic manifolds etc. We also solve the Dirichlet problem at infinity for the Hermitian-Einstein equations on holomorphic vector bundles over strictly pseudoconvex domains.References
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Additional Information
- Lei Ni
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Address at time of publication: Department of Mathematics, Stanford University, Stanford, California 94305
- MR Author ID: 640255
- Email: lni@math.purdue.edu
- Huaiyu Ren
- Affiliation: Department of Mathematics, University of California, Irvine, California 92697
- Email: hren@math.uci.edu
- Received by editor(s): November 5, 1998
- Received by editor(s) in revised form: March 5, 1999
- Published electronically: August 3, 2000
- Additional Notes: Research was partially supported by an NSF grant
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 441-456
- MSC (2000): Primary 58G11
- DOI: https://doi.org/10.1090/S0002-9947-00-02549-6
- MathSciNet review: 1694377