On the holomorphic curvature of some intrinsic metrics
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- by B. Wong PDF
- Proc. Amer. Math. Soc. 65 (1977), 57-61 Request permission
Abstract:
If G is a hyperbolic manifold in the sense of Kobayashi and the differential Kobayashi metric ${K_G}$ is of class ${C^2}$, then the holomorphic curvature of ${K_G}$ is greater than or equal to $- 4$. If G is Carathéodory-hyperbolic and the differential Carathéodory metric ${C_G}$ is of class ${C^2}$, then the holomorphic curvature of ${C_G}$ is less than or equal to $- 4$. With this result we obtain an intrinsic characterization of the unit ball.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 57-61
- MSC: Primary 32H20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0454081-7
- MathSciNet review: 0454081