Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria, e-mail: nik@math.bas.bg
Abstract: The behaviour of the Caratheodory, Kobayashi and Azukawa metrics near convex boundary points of domains in $\Bbb C^n$ is studied.
Keywords: Caratheodory metric, Kobayashi metric, Azukawa metric, convexifiable point
Classification (MSC 2000): 32F45
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