Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The limiting behavior of the Kobayashi-Royden pseudometric

Author: Shulim Kaliman
Journal: Trans. Amer. Math. Soc. 339 (1993), 361-371
MSC: Primary 32H15; Secondary 30F45, 32E10, 32G10
MathSciNet review: 1118826
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the limit of the sequence of Kobayashi metrics of Riemann surfaces (when these Riemann surfaces form an analytic fibration in such a way that the total space of fibration becomes a complex surface), as the fibers approach the center fiber which is not in general smooth. We prove that if the total space is a Stein surface and the smooth part of the center fiber contains a component biholomorphic to a quotient of the disk by a Fuchsian group of first kind, then the Kobayashi metrics of the near-by fibers converge to the Kobayashi metric of this component as fibers tend to the center fiber.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 32H15, 30F45, 32E10, 32G10

Retrieve articles in all journals with MSC: 32H15, 30F45, 32E10, 32G10

Additional Information

PII: S 0002-9947(1993)1118826-9
Article copyright: © Copyright 1993 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia