Boundary behavior of the Bergman metric. (English) Zbl 0533.32012
Complex analysis of several variables, Proc. Symp., Madison/Wis. 1982, Proc. Symp. Pure Math. 41, 59-67 (1984).
[For the entire collection see Zbl 0527.00006.]
This paper is concerned with the Bergman metric on pseudoconvex domains. The main result is that the Bergman metric blows up at a polynomial rate if the boundary is real analytic.
This paper is concerned with the Bergman metric on pseudoconvex domains. The main result is that the Bergman metric blows up at a polynomial rate if the boundary is real analytic.
MSC:
| 32F45 | Invariant metrics and pseudodistances in several complex variables |
| 32T99 | Pseudoconvex domains |
| 32A40 | Boundary behavior of holomorphic functions of several complex variables |
