On the Bergman metric of pseudoconvex domains in a complex projective space

Chen, Bo-Yong

doi:10.1090/S0002-9939-05-07780-4

On the Bergman metric of pseudoconvex domains in a complex projective space
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Proc. Amer. Math. Soc. 134 (2006), 139-148 Request permission

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.

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