Vol. 68, No. 2, 1977

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ISSN: 0030-8730
On completeness of the Bergman metric and its subordinate metrics. II

Kyong Taik Hahn

Vol. 68 (1977), No. 2, 437–446
Abstract

Let M be a complex manifold of dimension n furnished with both the Bergman metric and the Carathéodory distance. The main result of the present paper is to prove that the Bergman metric is always greater than or equal to the Carathéodory distance on M. The case where M is a bounded domain in the space Cn was already considered by the author in Proc. Nat. Acad. Sci. (U.S.A.), 73 (1976), 4294.

Mathematical Subject Classification
Primary: 32H15
Milestones
Received: 20 June 1976
Published: 1 February 1977
Authors
Kyong Taik Hahn