On the Bergman metric of pseudoconvex domains in a complex projective space
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Abstract:
We prove a localization principle of the Bergman kernel form and metric for $C^2$ pseudoconvex domains in the complex projective space. An estimate of the Bergman distance is also given.References
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Additional Information
- Bo-Yong Chen
- Affiliation: Department of Applied Mathematics, Tongji University, Shanghai 200092, Peoples Republic of China
- Address at time of publication: Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan
- Email: by-chen@math.nagoya-u.ac.jp
- Received by editor(s): January 23, 2004
- Published electronically: August 15, 2005
- Additional Notes: This work was supported by JSPS
- Communicated by: Mei-Chi Shaw
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 139-148
- MSC (2000): Primary 32A25
- DOI: https://doi.org/10.1090/S0002-9939-05-07780-4
- MathSciNet review: 2170553