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Intersection domains and the sum of two complex hyperbolic metrics

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Abstract

In this article, we prove that the intersection of the unit ball in ℂn with an affine transformation of it is a negatively curved domain. The two-dimensional case is due to Cheung and Wu.

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References

  1. Azukawa, K. Negativity of the curvature operator of a bounded domain.Tôhoku Math. J. 39, 281–285 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  2. Azukawa, K., and Suzuki, M. The Bergmann metric on a Thullen domain.Nagoya Math. J. 89, 1–11 (1983).

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  3. Cheung, C.-K., and Wu, H. Some new domains with complete Kähler metrics of negative curvature.J. Geom. Anal. 2, 37–78 (1992).

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  4. Zheng, F. First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type.Math. Zeit. 220, 159–169 (1995).

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Zheng, F. Intersection domains and the sum of two complex hyperbolic metrics. J Geom Anal 5, 551–560 (1995). https://doi.org/10.1007/BF02921774

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  • DOI: https://doi.org/10.1007/BF02921774

1980 Math Subject Classification (1985 Revision)

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