On Bergman completeness and Bergman stability |
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| Authors: | Chen Boyong Zhang Jinhao |
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| Institution: | (1) Institute of Mathematics, Fudan University, Shanghai 200433, Current address: Department of Applied Mathematics, Tongji University, Shanghai 200092 (e-mail: chenboy@online.sh.cn), CN;(2) Department of Mathematics, Fudan University, Shanghai 200433 (e-mail: zhangjhk@online.sh.cn), CN |
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| Abstract: | It is proved that any bounded pseudoconvex domain in is complete w.r.t. the Bergman metric if its boundary can be described locally as the graph of a continuous function in suitable
coordinates for . Further arguments are given concerning the stability problems of the Bergman kernel on non-smooth pseudoconvex domains.
Received November 30, 1998 / Revised December 21, 1999 / Published online September 5, 2000 |
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| Keywords: | |
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