Compact self-dual Hermitian surfaces
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- by Vestislav Apostolov, Johann Davidov and Oleg Muskarov PDF
- Trans. Amer. Math. Soc. 348 (1996), 3051-3063 Request permission
Abstract:
In this paper, we obtain a classification (up to conformal equivalence) of the compact self-dual Hermitian surfaces. As an application, we prove that every compact Hermitian surface of pointwise constant holomorphic sectional curvature with respect to either the Riemannian or the Hermitian connection is Kähler.References
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Additional Information
- Vestislav Apostolov
- Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. bl.8, 1113 Sofia, Bulgaria
- MR Author ID: 366272
- Johann Davidov
- Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. bl.8, 1113 Sofia, Bulgaria
- MR Author ID: 54980
- Email: jtd@bgearn.bitnet
- Oleg Muskarov
- Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. bl.8, 1113 Sofia, Bulgaria
- Received by editor(s): December 13, 1994
- Additional Notes: Research parially supported by the Bulgarian Ministry of Science and Education, contract MM-423/94.
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 3051-3063
- MSC (1991): Primary 53C55
- DOI: https://doi.org/10.1090/S0002-9947-96-01585-1
- MathSciNet review: 1348147