Vol. 68, No. 2, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
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