Compact Hermitian surfaces of constant antiholomorphic sectional curvatures
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- by Vestislav Apostolov, Georgi Ganchev and Stefan Ivanov PDF
- Proc. Amer. Math. Soc. 125 (1997), 3705-3714 Request permission
Abstract:
Compact Hermitian surfaces of constant antiholomorphic sectional curvatures with respect to the Riemannian curvature tensor and with respect to the Hermitian curvature tensor are considered. It is proved: a compact Hermitian surface of constant antiholomorphic Riemannian sectional curvatures is a self-dual Kaehler surface; a compact Hermitian surface of constant antiholomorphic Hermitian sectional curvatures is either a Kaehler surface of constant (non-zero) holomorphic sectional curvatures or a conformally flat Hermitian surface.References
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Additional Information
- Georgi Ganchev
- Affiliation: Bulgarian Academy of Science, Institute of Mathematics Acad., G. Bonchev Str., blok 8, 1113 Sofia Bulgaria
- Email: ganchev@math.acad.bg
- Stefan Ivanov
- Affiliation: University of Sofia, Faculty of Mathematics and Informatics, Department of Geometry, bul. James Bouchier 5, 1164 Sofia, Bulgaria
- Email: ivanovsp@fmi.uni-sofia.bg
- Received by editor(s): March 22, 1995
- Received by editor(s) in revised form: July 28, 1996
- Additional Notes: The first author was supported by Contract MM 423/1994 with the Ministry of Science and Education of Bulgaria; the second author was supported by Contract MM 413/1994 with the Ministry of Science and Education of Bulgaria; and the third author was supported by Contract MM 413/1994 with the Ministry of Science and Education of Bulgaria and by Contract 219/1994 with the University of Sofia “St. Kl. Ohridski"
- Communicated by: Christopher Croke
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3705-3714
- MSC (1991): Primary 53C15, 53C55, 53B35
- DOI: https://doi.org/10.1090/S0002-9939-97-04043-4
- MathSciNet review: 1415572