Holomorphic sectional curvatures of bounded homogeneous domains and related questions
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- by J. E. D’Atri PDF
- Trans. Amer. Math. Soc. 256 (1979), 405-413 Request permission
Erratum: Trans. Amer. Math. Soc. 271 (1982), 349.
Abstract:
This paper considers a class of homogeneous Kähler metrics which include the Bergman metrics on homogeneous bounded domains. We obtain various necessary conditions for (a) nonpositive holomorphic sectional curvature, (b) nonpositive sectional curvature, and (c) covariant constant curvature (symmetric metric). In particular, we give examples showing that there exist homogeneous bounded domains which in the Bergman metric have some positive holomorphic sectional curvature.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 256 (1979), 405-413
- MSC: Primary 32M15
- DOI: https://doi.org/10.1090/S0002-9947-1979-0546926-3
- MathSciNet review: 546926